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Simplifying 3[x + 4(7 + -1x) + 27] + -11 = 73 + -12x 3[x + (7 * 4 + -1x * 4) + 27] + -11 = 73 + -12x 3[x + (28 + -4x) + 27] + -11 = 73 + -12x Reorder the terms: 3[28 + 27 + x + -4x] + -11 = 73 + -12x Combine like terms: 28 + 27 = 55 3[55 + x + -4x] + -11 = 73 + -12x Combine like terms: x + -4x = -3x 3[55 + -3x] + -11 = 73 + -12x [55 * 3 + -3x * 3] + -11 = 73 + -12x [165 + -9x] + -11 = 73 + -12x Reorder the terms: 165 + -11 + -9x = 73 + -12x Combine like terms: 165 + -11 = 154 154 + -9x = 73 + -12x Solving 154 + -9x = 73 + -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. 154 + -9x + 12x = 73 + -12x + 12x Combine like terms: -9x + 12x = 3x 154 + 3x = 73 + -12x + 12x Combine like terms: -12x + 12x = 0 154 + 3x = 73 + 0 154 + 3x = 73 Add '-154' to each side of the equation. 154 + -154 + 3x = 73 + -154 Combine like terms: 154 + -154 = 0 0 + 3x = 73 + -154 3x = 73 + -154 Combine like terms: 73 + -154 = -81 3x = -81 Divide each side by '3'. x = -27 Simplifying x = -27
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