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Simplifying [2(x + 5) + -5] + 7 = 3(x + -1) Reorder the terms: [2(5 + x) + -5] + 7 = 3(x + -1) [(5 * 2 + x * 2) + -5] + 7 = 3(x + -1) [(10 + 2x) + -5] + 7 = 3(x + -1) Reorder the terms: [10 + -5 + 2x] + 7 = 3(x + -1) Combine like terms: 10 + -5 = 5 [5 + 2x] + 7 = 3(x + -1) Remove brackets around [5 + 2x] 5 + 2x + 7 = 3(x + -1) Reorder the terms: 5 + 7 + 2x = 3(x + -1) Combine like terms: 5 + 7 = 12 12 + 2x = 3(x + -1) Reorder the terms: 12 + 2x = 3(-1 + x) 12 + 2x = (-1 * 3 + x * 3) 12 + 2x = (-3 + 3x) Solving 12 + 2x = -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. 12 + 2x + -3x = -3 + 3x + -3x Combine like terms: 2x + -3x = -1x 12 + -1x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -1x = -3 + 0 12 + -1x = -3 Add '-12' to each side of the equation. 12 + -12 + -1x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = -3 + -12 -1x = -3 + -12 Combine like terms: -3 + -12 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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