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Simplifying 15 + -3(x + 1) = 2(x + 1) Reorder the terms: 15 + -3(1 + x) = 2(x + 1) 15 + (1 * -3 + x * -3) = 2(x + 1) 15 + (-3 + -3x) = 2(x + 1) Combine like terms: 15 + -3 = 12 12 + -3x = 2(x + 1) Reorder the terms: 12 + -3x = 2(1 + x) 12 + -3x = (1 * 2 + x * 2) 12 + -3x = (2 + 2x) Solving 12 + -3x = 2 + 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. 12 + -3x + -2x = 2 + 2x + -2x Combine like terms: -3x + -2x = -5x 12 + -5x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -5x = 2 + 0 12 + -5x = 2 Add '-12' to each side of the equation. 12 + -12 + -5x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 2 + -12 -5x = 2 + -12 Combine like terms: 2 + -12 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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