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Simplifying -2(x + -5) + 3(2x + -4) = -1(-1x + -5) Reorder the terms: -2(-5 + x) + 3(2x + -4) = -1(-1x + -5) (-5 * -2 + x * -2) + 3(2x + -4) = -1(-1x + -5) (10 + -2x) + 3(2x + -4) = -1(-1x + -5) Reorder the terms: 10 + -2x + 3(-4 + 2x) = -1(-1x + -5) 10 + -2x + (-4 * 3 + 2x * 3) = -1(-1x + -5) 10 + -2x + (-12 + 6x) = -1(-1x + -5) Reorder the terms: 10 + -12 + -2x + 6x = -1(-1x + -5) Combine like terms: 10 + -12 = -2 -2 + -2x + 6x = -1(-1x + -5) Combine like terms: -2x + 6x = 4x -2 + 4x = -1(-1x + -5) Reorder the terms: -2 + 4x = -1(-5 + -1x) -2 + 4x = (-5 * -1 + -1x * -1) -2 + 4x = (5 + 1x) Solving -2 + 4x = 5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + 4x + -1x = 5 + 1x + -1x Combine like terms: 4x + -1x = 3x -2 + 3x = 5 + 1x + -1x Combine like terms: 1x + -1x = 0 -2 + 3x = 5 + 0 -2 + 3x = 5 Add '2' to each side of the equation. -2 + 2 + 3x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 5 + 2 3x = 5 + 2 Combine like terms: 5 + 2 = 7 3x = 7 Divide each side by '3'. x = 2.333333333 Simplifying x = 2.333333333
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