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Simplifying 8 + -3(4x + 5) + -1(x + -9) = 7 + -4(5x + 3) Reorder the terms: 8 + -3(5 + 4x) + -1(x + -9) = 7 + -4(5x + 3) 8 + (5 * -3 + 4x * -3) + -1(x + -9) = 7 + -4(5x + 3) 8 + (-15 + -12x) + -1(x + -9) = 7 + -4(5x + 3) Reorder the terms: 8 + -15 + -12x + -1(-9 + x) = 7 + -4(5x + 3) 8 + -15 + -12x + (-9 * -1 + x * -1) = 7 + -4(5x + 3) 8 + -15 + -12x + (9 + -1x) = 7 + -4(5x + 3) Reorder the terms: 8 + -15 + 9 + -12x + -1x = 7 + -4(5x + 3) Combine like terms: 8 + -15 = -7 -7 + 9 + -12x + -1x = 7 + -4(5x + 3) Combine like terms: -7 + 9 = 2 2 + -12x + -1x = 7 + -4(5x + 3) Combine like terms: -12x + -1x = -13x 2 + -13x = 7 + -4(5x + 3) Reorder the terms: 2 + -13x = 7 + -4(3 + 5x) 2 + -13x = 7 + (3 * -4 + 5x * -4) 2 + -13x = 7 + (-12 + -20x) Combine like terms: 7 + -12 = -5 2 + -13x = -5 + -20x Solving 2 + -13x = -5 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 2 + -13x + 20x = -5 + -20x + 20x Combine like terms: -13x + 20x = 7x 2 + 7x = -5 + -20x + 20x Combine like terms: -20x + 20x = 0 2 + 7x = -5 + 0 2 + 7x = -5 Add '-2' to each side of the equation. 2 + -2 + 7x = -5 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = -5 + -2 7x = -5 + -2 Combine like terms: -5 + -2 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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