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