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Simplifying 2(3x + 5) = 5(x + 4) Reorder the terms: 2(5 + 3x) = 5(x + 4) (5 * 2 + 3x * 2) = 5(x + 4) (10 + 6x) = 5(x + 4) Reorder the terms: 10 + 6x = 5(4 + x) 10 + 6x = (4 * 5 + x * 5) 10 + 6x = (20 + 5x) Solving 10 + 6x = 20 + 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 + 6x + -5x = 20 + 5x + -5x Combine like terms: 6x + -5x = 1x 10 + 1x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + 1x = 20 + 0 10 + 1x = 20 Add '-10' to each side of the equation. 10 + -10 + 1x = 20 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 20 + -10 1x = 20 + -10 Combine like terms: 20 + -10 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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