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Simplifying 2(x + 5) = 5(x + 14) Reorder the terms: 2(5 + x) = 5(x + 14) (5 * 2 + x * 2) = 5(x + 14) (10 + 2x) = 5(x + 14) Reorder the terms: 10 + 2x = 5(14 + x) 10 + 2x = (14 * 5 + x * 5) 10 + 2x = (70 + 5x) Solving 10 + 2x = 70 + 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. 10 + 2x + -5x = 70 + 5x + -5x Combine like terms: 2x + -5x = -3x 10 + -3x = 70 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -3x = 70 + 0 10 + -3x = 70 Add '-10' to each side of the equation. 10 + -10 + -3x = 70 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 70 + -10 -3x = 70 + -10 Combine like terms: 70 + -10 = 60 -3x = 60 Divide each side by '-3'. x = -20 Simplifying x = -20
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