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