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Simplifying 7(-1(3x + -8) + -8(3x + -9) + 7x) + (5x + -8) = 9(-5x + 8) + 5(4x + -4) Reorder the terms: 7(-1(-8 + 3x) + -8(3x + -9) + 7x) + (5x + -8) = 9(-5x + 8) + 5(4x + -4) 7((-8 * -1 + 3x * -1) + -8(3x + -9) + 7x) + (5x + -8) = 9(-5x + 8) + 5(4x + -4) 7((8 + -3x) + -8(3x + -9) + 7x) + (5x + -8) = 9(-5x + 8) + 5(4x + -4) Reorder the terms: 7(8 + -3x + -8(-9 + 3x) + 7x) + (5x + -8) = 9(-5x + 8) + 5(4x + -4) 7(8 + -3x + (-9 * -8 + 3x * -8) + 7x) + (5x + -8) = 9(-5x + 8) + 5(4x + -4) 7(8 + -3x + (72 + -24x) + 7x) + (5x + -8) = 9(-5x + 8) + 5(4x + -4) Reorder the terms: 7(8 + 72 + -3x + -24x + 7x) + (5x + -8) = 9(-5x + 8) + 5(4x + -4) Combine like terms: 8 + 72 = 80 7(80 + -3x + -24x + 7x) + (5x + -8) = 9(-5x + 8) + 5(4x + -4) Combine like terms: -3x + -24x = -27x 7(80 + -27x + 7x) + (5x + -8) = 9(-5x + 8) + 5(4x + -4) Combine like terms: -27x + 7x = -20x 7(80 + -20x) + (5x + -8) = 9(-5x + 8) + 5(4x + -4) (80 * 7 + -20x * 7) + (5x + -8) = 9(-5x + 8) + 5(4x + -4) (560 + -140x) + (5x + -8) = 9(-5x + 8) + 5(4x + -4) Reorder the terms: 560 + -140x + (-8 + 5x) = 9(-5x + 8) + 5(4x + -4) Remove parenthesis around (-8 + 5x) 560 + -140x + -8 + 5x = 9(-5x + 8) + 5(4x + -4) Reorder the terms: 560 + -8 + -140x + 5x = 9(-5x + 8) + 5(4x + -4) Combine like terms: 560 + -8 = 552 552 + -140x + 5x = 9(-5x + 8) + 5(4x + -4) Combine like terms: -140x + 5x = -135x 552 + -135x = 9(-5x + 8) + 5(4x + -4) Reorder the terms: 552 + -135x = 9(8 + -5x) + 5(4x + -4) 552 + -135x = (8 * 9 + -5x * 9) + 5(4x + -4) 552 + -135x = (72 + -45x) + 5(4x + -4) Reorder the terms: 552 + -135x = 72 + -45x + 5(-4 + 4x) 552 + -135x = 72 + -45x + (-4 * 5 + 4x * 5) 552 + -135x = 72 + -45x + (-20 + 20x) Reorder the terms: 552 + -135x = 72 + -20 + -45x + 20x Combine like terms: 72 + -20 = 52 552 + -135x = 52 + -45x + 20x Combine like terms: -45x + 20x = -25x 552 + -135x = 52 + -25x Solving 552 + -135x = 52 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. 552 + -135x + 25x = 52 + -25x + 25x Combine like terms: -135x + 25x = -110x 552 + -110x = 52 + -25x + 25x Combine like terms: -25x + 25x = 0 552 + -110x = 52 + 0 552 + -110x = 52 Add '-552' to each side of the equation. 552 + -552 + -110x = 52 + -552 Combine like terms: 552 + -552 = 0 0 + -110x = 52 + -552 -110x = 52 + -552 Combine like terms: 52 + -552 = -500 -110x = -500 Divide each side by '-110'. x = 4.545454545 Simplifying x = 4.545454545
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