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Simplifying 3(x + 2) + -2(x + -1) + 1 = 3(x + 5) + -12 Reorder the terms: 3(2 + x) + -2(x + -1) + 1 = 3(x + 5) + -12 (2 * 3 + x * 3) + -2(x + -1) + 1 = 3(x + 5) + -12 (6 + 3x) + -2(x + -1) + 1 = 3(x + 5) + -12 Reorder the terms: 6 + 3x + -2(-1 + x) + 1 = 3(x + 5) + -12 6 + 3x + (-1 * -2 + x * -2) + 1 = 3(x + 5) + -12 6 + 3x + (2 + -2x) + 1 = 3(x + 5) + -12 Reorder the terms: 6 + 2 + 1 + 3x + -2x = 3(x + 5) + -12 Combine like terms: 6 + 2 = 8 8 + 1 + 3x + -2x = 3(x + 5) + -12 Combine like terms: 8 + 1 = 9 9 + 3x + -2x = 3(x + 5) + -12 Combine like terms: 3x + -2x = 1x 9 + 1x = 3(x + 5) + -12 Reorder the terms: 9 + 1x = 3(5 + x) + -12 9 + 1x = (5 * 3 + x * 3) + -12 9 + 1x = (15 + 3x) + -12 Reorder the terms: 9 + 1x = 15 + -12 + 3x Combine like terms: 15 + -12 = 3 9 + 1x = 3 + 3x Solving 9 + 1x = 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. 9 + 1x + -3x = 3 + 3x + -3x Combine like terms: 1x + -3x = -2x 9 + -2x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + -2x = 3 + 0 9 + -2x = 3 Add '-9' to each side of the equation. 9 + -9 + -2x = 3 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 3 + -9 -2x = 3 + -9 Combine like terms: 3 + -9 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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