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