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Simplifying 3(x + 5(6 + -1x) + 27) + -10 = 80 + -15x 3(x + (6 * 5 + -1x * 5) + 27) + -10 = 80 + -15x 3(x + (30 + -5x) + 27) + -10 = 80 + -15x Reorder the terms: 3(30 + 27 + x + -5x) + -10 = 80 + -15x Combine like terms: 30 + 27 = 57 3(57 + x + -5x) + -10 = 80 + -15x Combine like terms: x + -5x = -4x 3(57 + -4x) + -10 = 80 + -15x (57 * 3 + -4x * 3) + -10 = 80 + -15x (171 + -12x) + -10 = 80 + -15x Reorder the terms: 171 + -10 + -12x = 80 + -15x Combine like terms: 171 + -10 = 161 161 + -12x = 80 + -15x Solving 161 + -12x = 80 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 161 + -12x + 15x = 80 + -15x + 15x Combine like terms: -12x + 15x = 3x 161 + 3x = 80 + -15x + 15x Combine like terms: -15x + 15x = 0 161 + 3x = 80 + 0 161 + 3x = 80 Add '-161' to each side of the equation. 161 + -161 + 3x = 80 + -161 Combine like terms: 161 + -161 = 0 0 + 3x = 80 + -161 3x = 80 + -161 Combine like terms: 80 + -161 = -81 3x = -81 Divide each side by '3'. x = -27 Simplifying x = -27
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