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Simplifying 10 + -5[3x + -2] + 4x = 31 Reorder the terms: 10 + -5[-2 + 3x] + 4x = 31 10 + [-2 * -5 + 3x * -5] + 4x = 31 10 + [10 + -15x] + 4x = 31 Combine like terms: 10 + 10 = 20 20 + -15x + 4x = 31 Combine like terms: -15x + 4x = -11x 20 + -11x = 31 Solving 20 + -11x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -11x = 31 + -20 Combine like terms: 20 + -20 = 0 0 + -11x = 31 + -20 -11x = 31 + -20 Combine like terms: 31 + -20 = 11 -11x = 11 Divide each side by '-11'. x = -1 Simplifying x = -1
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