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Simplifying -4x + 24 = 5(2x + 2) Reorder the terms: 24 + -4x = 5(2x + 2) Reorder the terms: 24 + -4x = 5(2 + 2x) 24 + -4x = (2 * 5 + 2x * 5) 24 + -4x = (10 + 10x) Solving 24 + -4x = 10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 24 + -4x + -10x = 10 + 10x + -10x Combine like terms: -4x + -10x = -14x 24 + -14x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + -14x = 10 + 0 24 + -14x = 10 Add '-24' to each side of the equation. 24 + -24 + -14x = 10 + -24 Combine like terms: 24 + -24 = 0 0 + -14x = 10 + -24 -14x = 10 + -24 Combine like terms: 10 + -24 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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