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Simplifying 3(5x + 5) = -5[-3x + -4(-1x + 8)] Reorder the terms: 3(5 + 5x) = -5[-3x + -4(-1x + 8)] (5 * 3 + 5x * 3) = -5[-3x + -4(-1x + 8)] (15 + 15x) = -5[-3x + -4(-1x + 8)] Reorder the terms: 15 + 15x = -5[-3x + -4(8 + -1x)] 15 + 15x = -5[-3x + (8 * -4 + -1x * -4)] 15 + 15x = -5[-3x + (-32 + 4x)] Reorder the terms: 15 + 15x = -5[-32 + -3x + 4x] Combine like terms: -3x + 4x = 1x 15 + 15x = -5[-32 + 1x] 15 + 15x = [-32 * -5 + 1x * -5] 15 + 15x = [160 + -5x] Solving 15 + 15x = 160 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 15 + 15x + 5x = 160 + -5x + 5x Combine like terms: 15x + 5x = 20x 15 + 20x = 160 + -5x + 5x Combine like terms: -5x + 5x = 0 15 + 20x = 160 + 0 15 + 20x = 160 Add '-15' to each side of the equation. 15 + -15 + 20x = 160 + -15 Combine like terms: 15 + -15 = 0 0 + 20x = 160 + -15 20x = 160 + -15 Combine like terms: 160 + -15 = 145 20x = 145 Divide each side by '20'. x = 7.25 Simplifying x = 7.25
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