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