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Simplifying 3[x + 4(6 + -1x) + 24] + -11 = 61 + -12x 3[x + (6 * 4 + -1x * 4) + 24] + -11 = 61 + -12x 3[x + (24 + -4x) + 24] + -11 = 61 + -12x Reorder the terms: 3[24 + 24 + x + -4x] + -11 = 61 + -12x Combine like terms: 24 + 24 = 48 3[48 + x + -4x] + -11 = 61 + -12x Combine like terms: x + -4x = -3x 3[48 + -3x] + -11 = 61 + -12x [48 * 3 + -3x * 3] + -11 = 61 + -12x [144 + -9x] + -11 = 61 + -12x Reorder the terms: 144 + -11 + -9x = 61 + -12x Combine like terms: 144 + -11 = 133 133 + -9x = 61 + -12x Solving 133 + -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. 133 + -9x + 12x = 61 + -12x + 12x Combine like terms: -9x + 12x = 3x 133 + 3x = 61 + -12x + 12x Combine like terms: -12x + 12x = 0 133 + 3x = 61 + 0 133 + 3x = 61 Add '-133' to each side of the equation. 133 + -133 + 3x = 61 + -133 Combine like terms: 133 + -133 = 0 0 + 3x = 61 + -133 3x = 61 + -133 Combine like terms: 61 + -133 = -72 3x = -72 Divide each side by '3'. x = -24 Simplifying x = -24
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