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Simplifying 2(x + 3) + 2 = 3(x + -2) + 12 + -15 Reorder the terms: 2(3 + x) + 2 = 3(x + -2) + 12 + -15 (3 * 2 + x * 2) + 2 = 3(x + -2) + 12 + -15 (6 + 2x) + 2 = 3(x + -2) + 12 + -15 Reorder the terms: 6 + 2 + 2x = 3(x + -2) + 12 + -15 Combine like terms: 6 + 2 = 8 8 + 2x = 3(x + -2) + 12 + -15 Reorder the terms: 8 + 2x = 3(-2 + x) + 12 + -15 8 + 2x = (-2 * 3 + x * 3) + 12 + -15 8 + 2x = (-6 + 3x) + 12 + -15 Reorder the terms: 8 + 2x = -6 + 12 + -15 + 3x Combine like terms: -6 + 12 = 6 8 + 2x = 6 + -15 + 3x Combine like terms: 6 + -15 = -9 8 + 2x = -9 + 3x Solving 8 + 2x = -9 + 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. 8 + 2x + -3x = -9 + 3x + -3x Combine like terms: 2x + -3x = -1x 8 + -1x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -1x = -9 + 0 8 + -1x = -9 Add '-8' to each side of the equation. 8 + -8 + -1x = -9 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = -9 + -8 -1x = -9 + -8 Combine like terms: -9 + -8 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17
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