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Simplifying 5(3x + 1) = 7(5x + 5) Reorder the terms: 5(1 + 3x) = 7(5x + 5) (1 * 5 + 3x * 5) = 7(5x + 5) (5 + 15x) = 7(5x + 5) Reorder the terms: 5 + 15x = 7(5 + 5x) 5 + 15x = (5 * 7 + 5x * 7) 5 + 15x = (35 + 35x) Solving 5 + 15x = 35 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 5 + 15x + -35x = 35 + 35x + -35x Combine like terms: 15x + -35x = -20x 5 + -20x = 35 + 35x + -35x Combine like terms: 35x + -35x = 0 5 + -20x = 35 + 0 5 + -20x = 35 Add '-5' to each side of the equation. 5 + -5 + -20x = 35 + -5 Combine like terms: 5 + -5 = 0 0 + -20x = 35 + -5 -20x = 35 + -5 Combine like terms: 35 + -5 = 30 -20x = 30 Divide each side by '-20'. x = -1.5 Simplifying x = -1.5
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