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Simplifying 3[x + 4(7 + -1x) + 24] + -11 = 73 + -12x 3[x + (7 * 4 + -1x * 4) + 24] + -11 = 73 + -12x 3[x + (28 + -4x) + 24] + -11 = 73 + -12x Reorder the terms: 3[28 + 24 + x + -4x] + -11 = 73 + -12x Combine like terms: 28 + 24 = 52 3[52 + x + -4x] + -11 = 73 + -12x Combine like terms: x + -4x = -3x 3[52 + -3x] + -11 = 73 + -12x [52 * 3 + -3x * 3] + -11 = 73 + -12x [156 + -9x] + -11 = 73 + -12x Reorder the terms: 156 + -11 + -9x = 73 + -12x Combine like terms: 156 + -11 = 145 145 + -9x = 73 + -12x Solving 145 + -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. 145 + -9x + 12x = 73 + -12x + 12x Combine like terms: -9x + 12x = 3x 145 + 3x = 73 + -12x + 12x Combine like terms: -12x + 12x = 0 145 + 3x = 73 + 0 145 + 3x = 73 Add '-145' to each side of the equation. 145 + -145 + 3x = 73 + -145 Combine like terms: 145 + -145 = 0 0 + 3x = 73 + -145 3x = 73 + -145 Combine like terms: 73 + -145 = -72 3x = -72 Divide each side by '3'. x = -24 Simplifying x = -24
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