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Simplifying 3(2x + 5) = 4(x + 5) Reorder the terms: 3(5 + 2x) = 4(x + 5) (5 * 3 + 2x * 3) = 4(x + 5) (15 + 6x) = 4(x + 5) Reorder the terms: 15 + 6x = 4(5 + x) 15 + 6x = (5 * 4 + x * 4) 15 + 6x = (20 + 4x) Solving 15 + 6x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 15 + 6x + -4x = 20 + 4x + -4x Combine like terms: 6x + -4x = 2x 15 + 2x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + 2x = 20 + 0 15 + 2x = 20 Add '-15' to each side of the equation. 15 + -15 + 2x = 20 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 20 + -15 2x = 20 + -15 Combine like terms: 20 + -15 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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