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Simplifying 3[x + 5(6 + -1x) + 27] + -11 = 79 + -15x 3[x + (6 * 5 + -1x * 5) + 27] + -11 = 79 + -15x 3[x + (30 + -5x) + 27] + -11 = 79 + -15x Reorder the terms: 3[30 + 27 + x + -5x] + -11 = 79 + -15x Combine like terms: 30 + 27 = 57 3[57 + x + -5x] + -11 = 79 + -15x Combine like terms: x + -5x = -4x 3[57 + -4x] + -11 = 79 + -15x [57 * 3 + -4x * 3] + -11 = 79 + -15x [171 + -12x] + -11 = 79 + -15x Reorder the terms: 171 + -11 + -12x = 79 + -15x Combine like terms: 171 + -11 = 160 160 + -12x = 79 + -15x Solving 160 + -12x = 79 + -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. 160 + -12x + 15x = 79 + -15x + 15x Combine like terms: -12x + 15x = 3x 160 + 3x = 79 + -15x + 15x Combine like terms: -15x + 15x = 0 160 + 3x = 79 + 0 160 + 3x = 79 Add '-160' to each side of the equation. 160 + -160 + 3x = 79 + -160 Combine like terms: 160 + -160 = 0 0 + 3x = 79 + -160 3x = 79 + -160 Combine like terms: 79 + -160 = -81 3x = -81 Divide each side by '3'. x = -27 Simplifying x = -27
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