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Simplifying 5(3 + -2x) + -10 = 4x + [-1(2x + -5) + 15] (3 * 5 + -2x * 5) + -10 = 4x + [-1(2x + -5) + 15] (15 + -10x) + -10 = 4x + [-1(2x + -5) + 15] Reorder the terms: 15 + -10 + -10x = 4x + [-1(2x + -5) + 15] Combine like terms: 15 + -10 = 5 5 + -10x = 4x + [-1(2x + -5) + 15] Reorder the terms: 5 + -10x = 4x + [-1(-5 + 2x) + 15] 5 + -10x = 4x + [(-5 * -1 + 2x * -1) + 15] 5 + -10x = 4x + [(5 + -2x) + 15] Reorder the terms: 5 + -10x = 4x + [5 + 15 + -2x] Combine like terms: 5 + 15 = 20 5 + -10x = 4x + [20 + -2x] Remove brackets around [20 + -2x] 5 + -10x = 4x + 20 + -2x Reorder the terms: 5 + -10x = 20 + 4x + -2x Combine like terms: 4x + -2x = 2x 5 + -10x = 20 + 2x Solving 5 + -10x = 20 + 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. 5 + -10x + -2x = 20 + 2x + -2x Combine like terms: -10x + -2x = -12x 5 + -12x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -12x = 20 + 0 5 + -12x = 20 Add '-5' to each side of the equation. 5 + -5 + -12x = 20 + -5 Combine like terms: 5 + -5 = 0 0 + -12x = 20 + -5 -12x = 20 + -5 Combine like terms: 20 + -5 = 15 -12x = 15 Divide each side by '-12'. x = -1.25 Simplifying x = -1.25
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