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Simplifying 12x + -5[3x + -4(3 + 2x) + -1] = 173 12x + -5[3x + (3 * -4 + 2x * -4) + -1] = 173 12x + -5[3x + (-12 + -8x) + -1] = 173 Reorder the terms: 12x + -5[-12 + -1 + 3x + -8x] = 173 Combine like terms: -12 + -1 = -13 12x + -5[-13 + 3x + -8x] = 173 Combine like terms: 3x + -8x = -5x 12x + -5[-13 + -5x] = 173 12x + [-13 * -5 + -5x * -5] = 173 12x + [65 + 25x] = 173 Reorder the terms: 65 + 12x + 25x = 173 Combine like terms: 12x + 25x = 37x 65 + 37x = 173 Solving 65 + 37x = 173 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + 37x = 173 + -65 Combine like terms: 65 + -65 = 0 0 + 37x = 173 + -65 37x = 173 + -65 Combine like terms: 173 + -65 = 108 37x = 108 Divide each side by '37'. x = 2.918918919 Simplifying x = 2.918918919
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