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Simplifying 3[x + 5(7 + -1x) + 24] + -11 = 94 + -15x 3[x + (7 * 5 + -1x * 5) + 24] + -11 = 94 + -15x 3[x + (35 + -5x) + 24] + -11 = 94 + -15x Reorder the terms: 3[35 + 24 + x + -5x] + -11 = 94 + -15x Combine like terms: 35 + 24 = 59 3[59 + x + -5x] + -11 = 94 + -15x Combine like terms: x + -5x = -4x 3[59 + -4x] + -11 = 94 + -15x [59 * 3 + -4x * 3] + -11 = 94 + -15x [177 + -12x] + -11 = 94 + -15x Reorder the terms: 177 + -11 + -12x = 94 + -15x Combine like terms: 177 + -11 = 166 166 + -12x = 94 + -15x Solving 166 + -12x = 94 + -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. 166 + -12x + 15x = 94 + -15x + 15x Combine like terms: -12x + 15x = 3x 166 + 3x = 94 + -15x + 15x Combine like terms: -15x + 15x = 0 166 + 3x = 94 + 0 166 + 3x = 94 Add '-166' to each side of the equation. 166 + -166 + 3x = 94 + -166 Combine like terms: 166 + -166 = 0 0 + 3x = 94 + -166 3x = 94 + -166 Combine like terms: 94 + -166 = -72 3x = -72 Divide each side by '3'. x = -24 Simplifying x = -24
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