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Simplifying 2(x + -5) + -1(4 + -1x) = 5(x + 2) Reorder the terms: 2(-5 + x) + -1(4 + -1x) = 5(x + 2) (-5 * 2 + x * 2) + -1(4 + -1x) = 5(x + 2) (-10 + 2x) + -1(4 + -1x) = 5(x + 2) -10 + 2x + (4 * -1 + -1x * -1) = 5(x + 2) -10 + 2x + (-4 + 1x) = 5(x + 2) Reorder the terms: -10 + -4 + 2x + 1x = 5(x + 2) Combine like terms: -10 + -4 = -14 -14 + 2x + 1x = 5(x + 2) Combine like terms: 2x + 1x = 3x -14 + 3x = 5(x + 2) Reorder the terms: -14 + 3x = 5(2 + x) -14 + 3x = (2 * 5 + x * 5) -14 + 3x = (10 + 5x) Solving -14 + 3x = 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 + 3x + -5x = 10 + 5x + -5x Combine like terms: 3x + -5x = -2x -14 + -2x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + -2x = 10 + 0 -14 + -2x = 10 Add '14' to each side of the equation. -14 + 14 + -2x = 10 + 14 Combine like terms: -14 + 14 = 0 0 + -2x = 10 + 14 -2x = 10 + 14 Combine like terms: 10 + 14 = 24 -2x = 24 Divide each side by '-2'. x = -12 Simplifying x = -12
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