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Simplifying 3(x + -2) + 7 = 2(x + 15) Reorder the terms: 3(-2 + x) + 7 = 2(x + 15) (-2 * 3 + x * 3) + 7 = 2(x + 15) (-6 + 3x) + 7 = 2(x + 15) Reorder the terms: -6 + 7 + 3x = 2(x + 15) Combine like terms: -6 + 7 = 1 1 + 3x = 2(x + 15) Reorder the terms: 1 + 3x = 2(15 + x) 1 + 3x = (15 * 2 + x * 2) 1 + 3x = (30 + 2x) Solving 1 + 3x = 30 + 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. 1 + 3x + -2x = 30 + 2x + -2x Combine like terms: 3x + -2x = 1x 1 + 1x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 1x = 30 + 0 1 + 1x = 30 Add '-1' to each side of the equation. 1 + -1 + 1x = 30 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 30 + -1 1x = 30 + -1 Combine like terms: 30 + -1 = 29 1x = 29 Divide each side by '1'. x = 29 Simplifying x = 29
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