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Simplifying 50 + -5(x + 3) = 10(x + 2) Reorder the terms: 50 + -5(3 + x) = 10(x + 2) 50 + (3 * -5 + x * -5) = 10(x + 2) 50 + (-15 + -5x) = 10(x + 2) Combine like terms: 50 + -15 = 35 35 + -5x = 10(x + 2) Reorder the terms: 35 + -5x = 10(2 + x) 35 + -5x = (2 * 10 + x * 10) 35 + -5x = (20 + 10x) Solving 35 + -5x = 20 + 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. 35 + -5x + -10x = 20 + 10x + -10x Combine like terms: -5x + -10x = -15x 35 + -15x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 35 + -15x = 20 + 0 35 + -15x = 20 Add '-35' to each side of the equation. 35 + -35 + -15x = 20 + -35 Combine like terms: 35 + -35 = 0 0 + -15x = 20 + -35 -15x = 20 + -35 Combine like terms: 20 + -35 = -15 -15x = -15 Divide each side by '-15'. x = 1 Simplifying x = 1
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