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Simplifying 5(3x + 1) = 2x + -7x Reorder the terms: 5(1 + 3x) = 2x + -7x (1 * 5 + 3x * 5) = 2x + -7x (5 + 15x) = 2x + -7x Combine like terms: 2x + -7x = -5x 5 + 15x = -5x Solving 5 + 15x = -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. 5 + 15x + 5x = -5x + 5x Combine like terms: 15x + 5x = 20x 5 + 20x = -5x + 5x Combine like terms: -5x + 5x = 0 5 + 20x = 0 Add '-5' to each side of the equation. 5 + -5 + 20x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 20x = 0 + -5 20x = 0 + -5 Combine like terms: 0 + -5 = -5 20x = -5 Divide each side by '20'. x = -0.25 Simplifying x = -0.25
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