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Simplifying 3(x + 1) = 6x + 2(x + -6) Reorder the terms: 3(1 + x) = 6x + 2(x + -6) (1 * 3 + x * 3) = 6x + 2(x + -6) (3 + 3x) = 6x + 2(x + -6) Reorder the terms: 3 + 3x = 6x + 2(-6 + x) 3 + 3x = 6x + (-6 * 2 + x * 2) 3 + 3x = 6x + (-12 + 2x) Reorder the terms: 3 + 3x = -12 + 6x + 2x Combine like terms: 6x + 2x = 8x 3 + 3x = -12 + 8x Solving 3 + 3x = -12 + 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. 3 + 3x + -8x = -12 + 8x + -8x Combine like terms: 3x + -8x = -5x 3 + -5x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -5x = -12 + 0 3 + -5x = -12 Add '-3' to each side of the equation. 3 + -3 + -5x = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = -12 + -3 -5x = -12 + -3 Combine like terms: -12 + -3 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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