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Simplifying 5x + 2(2.5x + 5) = 15x + 30 Reorder the terms: 5x + 2(5 + 2.5x) = 15x + 30 5x + (5 * 2 + 2.5x * 2) = 15x + 30 5x + (10 + 5x) = 15x + 30 Reorder the terms: 10 + 5x + 5x = 15x + 30 Combine like terms: 5x + 5x = 10x 10 + 10x = 15x + 30 Reorder the terms: 10 + 10x = 30 + 15x Solving 10 + 10x = 30 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 10 + 10x + -15x = 30 + 15x + -15x Combine like terms: 10x + -15x = -5x 10 + -5x = 30 + 15x + -15x Combine like terms: 15x + -15x = 0 10 + -5x = 30 + 0 10 + -5x = 30 Add '-10' to each side of the equation. 10 + -10 + -5x = 30 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = 30 + -10 -5x = 30 + -10 Combine like terms: 30 + -10 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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