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Simplifying 5(2x + 1) = 3(x + 5) + -5 Reorder the terms: 5(1 + 2x) = 3(x + 5) + -5 (1 * 5 + 2x * 5) = 3(x + 5) + -5 (5 + 10x) = 3(x + 5) + -5 Reorder the terms: 5 + 10x = 3(5 + x) + -5 5 + 10x = (5 * 3 + x * 3) + -5 5 + 10x = (15 + 3x) + -5 Reorder the terms: 5 + 10x = 15 + -5 + 3x Combine like terms: 15 + -5 = 10 5 + 10x = 10 + 3x Solving 5 + 10x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + 10x + -3x = 10 + 3x + -3x Combine like terms: 10x + -3x = 7x 5 + 7x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 7x = 10 + 0 5 + 7x = 10 Add '-5' to each side of the equation. 5 + -5 + 7x = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 10 + -5 7x = 10 + -5 Combine like terms: 10 + -5 = 5 7x = 5 Divide each side by '7'. x = 0.7142857143 Simplifying x = 0.7142857143
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