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Simplifying (7 + 2x) * 5 = 5x + 10 Reorder the terms for easier multiplication: 5(7 + 2x) = 5x + 10 (7 * 5 + 2x * 5) = 5x + 10 (35 + 10x) = 5x + 10 Reorder the terms: 35 + 10x = 10 + 5x Solving 35 + 10x = 10 + 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. 35 + 10x + -5x = 10 + 5x + -5x Combine like terms: 10x + -5x = 5x 35 + 5x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 35 + 5x = 10 + 0 35 + 5x = 10 Add '-35' to each side of the equation. 35 + -35 + 5x = 10 + -35 Combine like terms: 35 + -35 = 0 0 + 5x = 10 + -35 5x = 10 + -35 Combine like terms: 10 + -35 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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