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Simplifying x + -2(x + -1) + 3(4 + -2x) = 3x + 2(x + -5) Reorder the terms: x + -2(-1 + x) + 3(4 + -2x) = 3x + 2(x + -5) x + (-1 * -2 + x * -2) + 3(4 + -2x) = 3x + 2(x + -5) x + (2 + -2x) + 3(4 + -2x) = 3x + 2(x + -5) x + 2 + -2x + (4 * 3 + -2x * 3) = 3x + 2(x + -5) x + 2 + -2x + (12 + -6x) = 3x + 2(x + -5) Reorder the terms: 2 + 12 + x + -2x + -6x = 3x + 2(x + -5) Combine like terms: 2 + 12 = 14 14 + x + -2x + -6x = 3x + 2(x + -5) Combine like terms: x + -2x = -1x 14 + -1x + -6x = 3x + 2(x + -5) Combine like terms: -1x + -6x = -7x 14 + -7x = 3x + 2(x + -5) Reorder the terms: 14 + -7x = 3x + 2(-5 + x) 14 + -7x = 3x + (-5 * 2 + x * 2) 14 + -7x = 3x + (-10 + 2x) Reorder the terms: 14 + -7x = -10 + 3x + 2x Combine like terms: 3x + 2x = 5x 14 + -7x = -10 + 5x Solving 14 + -7x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + -7x + -5x = -10 + 5x + -5x Combine like terms: -7x + -5x = -12x 14 + -12x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -12x = -10 + 0 14 + -12x = -10 Add '-14' to each side of the equation. 14 + -14 + -12x = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -12x = -10 + -14 -12x = -10 + -14 Combine like terms: -10 + -14 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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