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Simplifying -6(x + -2) = -2x + -1(3x + 3) Reorder the terms: -6(-2 + x) = -2x + -1(3x + 3) (-2 * -6 + x * -6) = -2x + -1(3x + 3) (12 + -6x) = -2x + -1(3x + 3) Reorder the terms: 12 + -6x = -2x + -1(3 + 3x) 12 + -6x = -2x + (3 * -1 + 3x * -1) 12 + -6x = -2x + (-3 + -3x) Reorder the terms: 12 + -6x = -3 + -2x + -3x Combine like terms: -2x + -3x = -5x 12 + -6x = -3 + -5x Solving 12 + -6x = -3 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 12 + -6x + 5x = -3 + -5x + 5x Combine like terms: -6x + 5x = -1x 12 + -1x = -3 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + -1x = -3 + 0 12 + -1x = -3 Add '-12' to each side of the equation. 12 + -12 + -1x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = -3 + -12 -1x = -3 + -12 Combine like terms: -3 + -12 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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