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Simplifying -1(6x + -3) + -1(2x + -5) + 4 = -3(x + -9) + -1(8x + 8) + 7 Reorder the terms: -1(-3 + 6x) + -1(2x + -5) + 4 = -3(x + -9) + -1(8x + 8) + 7 (-3 * -1 + 6x * -1) + -1(2x + -5) + 4 = -3(x + -9) + -1(8x + 8) + 7 (3 + -6x) + -1(2x + -5) + 4 = -3(x + -9) + -1(8x + 8) + 7 Reorder the terms: 3 + -6x + -1(-5 + 2x) + 4 = -3(x + -9) + -1(8x + 8) + 7 3 + -6x + (-5 * -1 + 2x * -1) + 4 = -3(x + -9) + -1(8x + 8) + 7 3 + -6x + (5 + -2x) + 4 = -3(x + -9) + -1(8x + 8) + 7 Reorder the terms: 3 + 5 + 4 + -6x + -2x = -3(x + -9) + -1(8x + 8) + 7 Combine like terms: 3 + 5 = 8 8 + 4 + -6x + -2x = -3(x + -9) + -1(8x + 8) + 7 Combine like terms: 8 + 4 = 12 12 + -6x + -2x = -3(x + -9) + -1(8x + 8) + 7 Combine like terms: -6x + -2x = -8x 12 + -8x = -3(x + -9) + -1(8x + 8) + 7 Reorder the terms: 12 + -8x = -3(-9 + x) + -1(8x + 8) + 7 12 + -8x = (-9 * -3 + x * -3) + -1(8x + 8) + 7 12 + -8x = (27 + -3x) + -1(8x + 8) + 7 Reorder the terms: 12 + -8x = 27 + -3x + -1(8 + 8x) + 7 12 + -8x = 27 + -3x + (8 * -1 + 8x * -1) + 7 12 + -8x = 27 + -3x + (-8 + -8x) + 7 Reorder the terms: 12 + -8x = 27 + -8 + 7 + -3x + -8x Combine like terms: 27 + -8 = 19 12 + -8x = 19 + 7 + -3x + -8x Combine like terms: 19 + 7 = 26 12 + -8x = 26 + -3x + -8x Combine like terms: -3x + -8x = -11x 12 + -8x = 26 + -11x Solving 12 + -8x = 26 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 12 + -8x + 11x = 26 + -11x + 11x Combine like terms: -8x + 11x = 3x 12 + 3x = 26 + -11x + 11x Combine like terms: -11x + 11x = 0 12 + 3x = 26 + 0 12 + 3x = 26 Add '-12' to each side of the equation. 12 + -12 + 3x = 26 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 26 + -12 3x = 26 + -12 Combine like terms: 26 + -12 = 14 3x = 14 Divide each side by '3'. x = 4.666666667 Simplifying x = 4.666666667
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