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Simplifying 8x + 7x = -3(5x + 5) + 5(1 + 7x) Combine like terms: 8x + 7x = 15x 15x = -3(5x + 5) + 5(1 + 7x) Reorder the terms: 15x = -3(5 + 5x) + 5(1 + 7x) 15x = (5 * -3 + 5x * -3) + 5(1 + 7x) 15x = (-15 + -15x) + 5(1 + 7x) 15x = -15 + -15x + (1 * 5 + 7x * 5) 15x = -15 + -15x + (5 + 35x) Reorder the terms: 15x = -15 + 5 + -15x + 35x Combine like terms: -15 + 5 = -10 15x = -10 + -15x + 35x Combine like terms: -15x + 35x = 20x 15x = -10 + 20x Solving 15x = -10 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 15x + -20x = -10 + 20x + -20x Combine like terms: 15x + -20x = -5x -5x = -10 + 20x + -20x Combine like terms: 20x + -20x = 0 -5x = -10 + 0 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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