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Simplifying (7 + 2x) * 5 = -5x + 5 Reorder the terms for easier multiplication: 5(7 + 2x) = -5x + 5 (7 * 5 + 2x * 5) = -5x + 5 (35 + 10x) = -5x + 5 Reorder the terms: 35 + 10x = 5 + -5x Solving 35 + 10x = 5 + -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 = 5 + -5x + 5x Combine like terms: 10x + 5x = 15x 35 + 15x = 5 + -5x + 5x Combine like terms: -5x + 5x = 0 35 + 15x = 5 + 0 35 + 15x = 5 Add '-35' to each side of the equation. 35 + -35 + 15x = 5 + -35 Combine like terms: 35 + -35 = 0 0 + 15x = 5 + -35 15x = 5 + -35 Combine like terms: 5 + -35 = -30 15x = -30 Divide each side by '15'. x = -2 Simplifying x = -2
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