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