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Simplifying 2x + -10 + -1[3x + -14 + -1(4 + -5x) + -2x] = 2 2x + -10 + -1[3x + -14 + (4 * -1 + -5x * -1) + -2x] = 2 2x + -10 + -1[3x + -14 + (-4 + 5x) + -2x] = 2 Reorder the terms: 2x + -10 + -1[-14 + -4 + 3x + 5x + -2x] = 2 Combine like terms: -14 + -4 = -18 2x + -10 + -1[-18 + 3x + 5x + -2x] = 2 Combine like terms: 3x + 5x = 8x 2x + -10 + -1[-18 + 8x + -2x] = 2 Combine like terms: 8x + -2x = 6x 2x + -10 + -1[-18 + 6x] = 2 2x + -10 + [-18 * -1 + 6x * -1] = 2 2x + -10 + [18 + -6x] = 2 Reorder the terms: -10 + 18 + 2x + -6x = 2 Combine like terms: -10 + 18 = 8 8 + 2x + -6x = 2 Combine like terms: 2x + -6x = -4x 8 + -4x = 2 Solving 8 + -4x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -4x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = 2 + -8 -4x = 2 + -8 Combine like terms: 2 + -8 = -6 -4x = -6 Divide each side by '-4'. x = 1.5 Simplifying x = 1.5
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