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Simplifying 3[x + 5(7 + -1x) + 27] + -10 = 95 + -15x 3[x + (7 * 5 + -1x * 5) + 27] + -10 = 95 + -15x 3[x + (35 + -5x) + 27] + -10 = 95 + -15x Reorder the terms: 3[35 + 27 + x + -5x] + -10 = 95 + -15x Combine like terms: 35 + 27 = 62 3[62 + x + -5x] + -10 = 95 + -15x Combine like terms: x + -5x = -4x 3[62 + -4x] + -10 = 95 + -15x [62 * 3 + -4x * 3] + -10 = 95 + -15x [186 + -12x] + -10 = 95 + -15x Reorder the terms: 186 + -10 + -12x = 95 + -15x Combine like terms: 186 + -10 = 176 176 + -12x = 95 + -15x Solving 176 + -12x = 95 + -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. 176 + -12x + 15x = 95 + -15x + 15x Combine like terms: -12x + 15x = 3x 176 + 3x = 95 + -15x + 15x Combine like terms: -15x + 15x = 0 176 + 3x = 95 + 0 176 + 3x = 95 Add '-176' to each side of the equation. 176 + -176 + 3x = 95 + -176 Combine like terms: 176 + -176 = 0 0 + 3x = 95 + -176 3x = 95 + -176 Combine like terms: 95 + -176 = -81 3x = -81 Divide each side by '3'. x = -27 Simplifying x = -27
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