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Simplifying 2(x + 40) = 3(10 + x) Reorder the terms: 2(40 + x) = 3(10 + x) (40 * 2 + x * 2) = 3(10 + x) (80 + 2x) = 3(10 + x) 80 + 2x = (10 * 3 + x * 3) 80 + 2x = (30 + 3x) Solving 80 + 2x = 30 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 80 + 2x + -3x = 30 + 3x + -3x Combine like terms: 2x + -3x = -1x 80 + -1x = 30 + 3x + -3x Combine like terms: 3x + -3x = 0 80 + -1x = 30 + 0 80 + -1x = 30 Add '-80' to each side of the equation. 80 + -80 + -1x = 30 + -80 Combine like terms: 80 + -80 = 0 0 + -1x = 30 + -80 -1x = 30 + -80 Combine like terms: 30 + -80 = -50 -1x = -50 Divide each side by '-1'. x = 50 Simplifying x = 50
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