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Simplifying -5(x + -4) = 2(-2x + 5) + -5 Reorder the terms: -5(-4 + x) = 2(-2x + 5) + -5 (-4 * -5 + x * -5) = 2(-2x + 5) + -5 (20 + -5x) = 2(-2x + 5) + -5 Reorder the terms: 20 + -5x = 2(5 + -2x) + -5 20 + -5x = (5 * 2 + -2x * 2) + -5 20 + -5x = (10 + -4x) + -5 Reorder the terms: 20 + -5x = 10 + -5 + -4x Combine like terms: 10 + -5 = 5 20 + -5x = 5 + -4x Solving 20 + -5x = 5 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 20 + -5x + 4x = 5 + -4x + 4x Combine like terms: -5x + 4x = -1x 20 + -1x = 5 + -4x + 4x Combine like terms: -4x + 4x = 0 20 + -1x = 5 + 0 20 + -1x = 5 Add '-20' to each side of the equation. 20 + -20 + -1x = 5 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 5 + -20 -1x = 5 + -20 Combine like terms: 5 + -20 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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