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Simplifying (x + 30) + -15 = 2(x + -15) Reorder the terms: (30 + x) + -15 = 2(x + -15) Remove parenthesis around (30 + x) 30 + x + -15 = 2(x + -15) Reorder the terms: 30 + -15 + x = 2(x + -15) Combine like terms: 30 + -15 = 15 15 + x = 2(x + -15) Reorder the terms: 15 + x = 2(-15 + x) 15 + x = (-15 * 2 + x * 2) 15 + x = (-30 + 2x) Solving 15 + x = -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. 15 + x + -2x = -30 + 2x + -2x Combine like terms: x + -2x = -1x 15 + -1x = -30 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + -1x = -30 + 0 15 + -1x = -30 Add '-15' to each side of the equation. 15 + -15 + -1x = -30 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = -30 + -15 -1x = -30 + -15 Combine like terms: -30 + -15 = -45 -1x = -45 Divide each side by '-1'. x = 45 Simplifying x = 45
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