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Simplifying -2x + 24 = 5(4x + -4) Reorder the terms: 24 + -2x = 5(4x + -4) Reorder the terms: 24 + -2x = 5(-4 + 4x) 24 + -2x = (-4 * 5 + 4x * 5) 24 + -2x = (-20 + 20x) Solving 24 + -2x = -20 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 24 + -2x + -20x = -20 + 20x + -20x Combine like terms: -2x + -20x = -22x 24 + -22x = -20 + 20x + -20x Combine like terms: 20x + -20x = 0 24 + -22x = -20 + 0 24 + -22x = -20 Add '-24' to each side of the equation. 24 + -24 + -22x = -20 + -24 Combine like terms: 24 + -24 = 0 0 + -22x = -20 + -24 -22x = -20 + -24 Combine like terms: -20 + -24 = -44 -22x = -44 Divide each side by '-22'. x = 2 Simplifying x = 2
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