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Simplifying 3[x + 4(6 + -1x) + 27] + -11 = 61 + -12x 3[x + (6 * 4 + -1x * 4) + 27] + -11 = 61 + -12x 3[x + (24 + -4x) + 27] + -11 = 61 + -12x Reorder the terms: 3[24 + 27 + x + -4x] + -11 = 61 + -12x Combine like terms: 24 + 27 = 51 3[51 + x + -4x] + -11 = 61 + -12x Combine like terms: x + -4x = -3x 3[51 + -3x] + -11 = 61 + -12x [51 * 3 + -3x * 3] + -11 = 61 + -12x [153 + -9x] + -11 = 61 + -12x Reorder the terms: 153 + -11 + -9x = 61 + -12x Combine like terms: 153 + -11 = 142 142 + -9x = 61 + -12x Solving 142 + -9x = 61 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 142 + -9x + 12x = 61 + -12x + 12x Combine like terms: -9x + 12x = 3x 142 + 3x = 61 + -12x + 12x Combine like terms: -12x + 12x = 0 142 + 3x = 61 + 0 142 + 3x = 61 Add '-142' to each side of the equation. 142 + -142 + 3x = 61 + -142 Combine like terms: 142 + -142 = 0 0 + 3x = 61 + -142 3x = 61 + -142 Combine like terms: 61 + -142 = -81 3x = -81 Divide each side by '3'. x = -27 Simplifying x = -27
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