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Simplifying x + 3 + -1(2x + -4) = 5(x + -5) Reorder the terms: x + 3 + -1(-4 + 2x) = 5(x + -5) x + 3 + (-4 * -1 + 2x * -1) = 5(x + -5) x + 3 + (4 + -2x) = 5(x + -5) Reorder the terms: 3 + 4 + x + -2x = 5(x + -5) Combine like terms: 3 + 4 = 7 7 + x + -2x = 5(x + -5) Combine like terms: x + -2x = -1x 7 + -1x = 5(x + -5) Reorder the terms: 7 + -1x = 5(-5 + x) 7 + -1x = (-5 * 5 + x * 5) 7 + -1x = (-25 + 5x) Solving 7 + -1x = -25 + 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. 7 + -1x + -5x = -25 + 5x + -5x Combine like terms: -1x + -5x = -6x 7 + -6x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -6x = -25 + 0 7 + -6x = -25 Add '-7' to each side of the equation. 7 + -7 + -6x = -25 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = -25 + -7 -6x = -25 + -7 Combine like terms: -25 + -7 = -32 -6x = -32 Divide each side by '-6'. x = 5.333333333 Simplifying x = 5.333333333
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