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Simplifying 2x + 8(x + 3) = 5(x + 2) + 15 Reorder the terms: 2x + 8(3 + x) = 5(x + 2) + 15 2x + (3 * 8 + x * 8) = 5(x + 2) + 15 2x + (24 + 8x) = 5(x + 2) + 15 Reorder the terms: 24 + 2x + 8x = 5(x + 2) + 15 Combine like terms: 2x + 8x = 10x 24 + 10x = 5(x + 2) + 15 Reorder the terms: 24 + 10x = 5(2 + x) + 15 24 + 10x = (2 * 5 + x * 5) + 15 24 + 10x = (10 + 5x) + 15 Reorder the terms: 24 + 10x = 10 + 15 + 5x Combine like terms: 10 + 15 = 25 24 + 10x = 25 + 5x Solving 24 + 10x = 25 + 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. 24 + 10x + -5x = 25 + 5x + -5x Combine like terms: 10x + -5x = 5x 24 + 5x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + 5x = 25 + 0 24 + 5x = 25 Add '-24' to each side of the equation. 24 + -24 + 5x = 25 + -24 Combine like terms: 24 + -24 = 0 0 + 5x = 25 + -24 5x = 25 + -24 Combine like terms: 25 + -24 = 1 5x = 1 Divide each side by '5'. x = 0.2 Simplifying x = 0.2
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