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Simplifying 2(x + 1) + 7 = 3(x + -2) + 2x Reorder the terms: 2(1 + x) + 7 = 3(x + -2) + 2x (1 * 2 + x * 2) + 7 = 3(x + -2) + 2x (2 + 2x) + 7 = 3(x + -2) + 2x Reorder the terms: 2 + 7 + 2x = 3(x + -2) + 2x Combine like terms: 2 + 7 = 9 9 + 2x = 3(x + -2) + 2x Reorder the terms: 9 + 2x = 3(-2 + x) + 2x 9 + 2x = (-2 * 3 + x * 3) + 2x 9 + 2x = (-6 + 3x) + 2x Combine like terms: 3x + 2x = 5x 9 + 2x = -6 + 5x Solving 9 + 2x = -6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 9 + 2x + -5x = -6 + 5x + -5x Combine like terms: 2x + -5x = -3x 9 + -3x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + -3x = -6 + 0 9 + -3x = -6 Add '-9' to each side of the equation. 9 + -9 + -3x = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = -6 + -9 -3x = -6 + -9 Combine like terms: -6 + -9 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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