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Simplifying 5(2x + 3) = 10 + -5x Reorder the terms: 5(3 + 2x) = 10 + -5x (3 * 5 + 2x * 5) = 10 + -5x (15 + 10x) = 10 + -5x Solving 15 + 10x = 10 + -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. 15 + 10x + 5x = 10 + -5x + 5x Combine like terms: 10x + 5x = 15x 15 + 15x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 15 + 15x = 10 + 0 15 + 15x = 10 Add '-15' to each side of the equation. 15 + -15 + 15x = 10 + -15 Combine like terms: 15 + -15 = 0 0 + 15x = 10 + -15 15x = 10 + -15 Combine like terms: 10 + -15 = -5 15x = -5 Divide each side by '15'. x = -0.3333333333 Simplifying x = -0.3333333333
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