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Simplifying 3(5x + 1) = 2x + -7x Reorder the terms: 3(1 + 5x) = 2x + -7x (1 * 3 + 5x * 3) = 2x + -7x (3 + 15x) = 2x + -7x Combine like terms: 2x + -7x = -5x 3 + 15x = -5x Solving 3 + 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. 3 + 15x + 5x = -5x + 5x Combine like terms: 15x + 5x = 20x 3 + 20x = -5x + 5x Combine like terms: -5x + 5x = 0 3 + 20x = 0 Add '-3' to each side of the equation. 3 + -3 + 20x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 20x = 0 + -3 20x = 0 + -3 Combine like terms: 0 + -3 = -3 20x = -3 Divide each side by '20'. x = -0.15 Simplifying x = -0.15
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