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Simplifying 7(x + 5) = 2x + 10 Reorder the terms: 7(5 + x) = 2x + 10 (5 * 7 + x * 7) = 2x + 10 (35 + 7x) = 2x + 10 Reorder the terms: 35 + 7x = 10 + 2x Solving 35 + 7x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 35 + 7x + -2x = 10 + 2x + -2x Combine like terms: 7x + -2x = 5x 35 + 5x = 10 + 2x + -2x Combine like terms: 2x + -2x = 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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