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Simplifying 5(2x + 1) = 3(x) + -5 Reorder the terms: 5(1 + 2x) = 3(x) + -5 (1 * 5 + 2x * 5) = 3(x) + -5 (5 + 10x) = 3(x) + -5 Reorder the terms: 5 + 10x = -5 + 3x Solving 5 + 10x = -5 + 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 = -5 + 3x + -3x Combine like terms: 10x + -3x = 7x 5 + 7x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 7x = -5 + 0 5 + 7x = -5 Add '-5' to each side of the equation. 5 + -5 + 7x = -5 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = -5 + -5 7x = -5 + -5 Combine like terms: -5 + -5 = -10 7x = -10 Divide each side by '7'. x = -1.428571429 Simplifying x = -1.428571429
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