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Simplifying 5(x + 10) = 2(x + 10) Reorder the terms: 5(10 + x) = 2(x + 10) (10 * 5 + x * 5) = 2(x + 10) (50 + 5x) = 2(x + 10) Reorder the terms: 50 + 5x = 2(10 + x) 50 + 5x = (10 * 2 + x * 2) 50 + 5x = (20 + 2x) Solving 50 + 5x = 20 + 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. 50 + 5x + -2x = 20 + 2x + -2x Combine like terms: 5x + -2x = 3x 50 + 3x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 50 + 3x = 20 + 0 50 + 3x = 20 Add '-50' to each side of the equation. 50 + -50 + 3x = 20 + -50 Combine like terms: 50 + -50 = 0 0 + 3x = 20 + -50 3x = 20 + -50 Combine like terms: 20 + -50 = -30 3x = -30 Divide each side by '3'. x = -10 Simplifying x = -10
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