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Simplifying 2 + -1[3 + -1(5 + -5x)] + -1x = -10 + 3(2 + 3x) 2 + -1[3 + (5 * -1 + -5x * -1)] + -1x = -10 + 3(2 + 3x) 2 + -1[3 + (-5 + 5x)] + -1x = -10 + 3(2 + 3x) Combine like terms: 3 + -5 = -2 2 + -1[-2 + 5x] + -1x = -10 + 3(2 + 3x) 2 + [-2 * -1 + 5x * -1] + -1x = -10 + 3(2 + 3x) 2 + [2 + -5x] + -1x = -10 + 3(2 + 3x) Combine like terms: 2 + 2 = 4 4 + -5x + -1x = -10 + 3(2 + 3x) Combine like terms: -5x + -1x = -6x 4 + -6x = -10 + 3(2 + 3x) 4 + -6x = -10 + (2 * 3 + 3x * 3) 4 + -6x = -10 + (6 + 9x) Combine like terms: -10 + 6 = -4 4 + -6x = -4 + 9x Solving 4 + -6x = -4 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 4 + -6x + -9x = -4 + 9x + -9x Combine like terms: -6x + -9x = -15x 4 + -15x = -4 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + -15x = -4 + 0 4 + -15x = -4 Add '-4' to each side of the equation. 4 + -4 + -15x = -4 + -4 Combine like terms: 4 + -4 = 0 0 + -15x = -4 + -4 -15x = -4 + -4 Combine like terms: -4 + -4 = -8 -15x = -8 Divide each side by '-15'. x = 0.5333333333 Simplifying x = 0.5333333333
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