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Simplifying 7x + 8x = -5(1 + -7x) + 5(1 + 7x) Combine like terms: 7x + 8x = 15x 15x = -5(1 + -7x) + 5(1 + 7x) 15x = (1 * -5 + -7x * -5) + 5(1 + 7x) 15x = (-5 + 35x) + 5(1 + 7x) 15x = -5 + 35x + (1 * 5 + 7x * 5) 15x = -5 + 35x + (5 + 35x) Reorder the terms: 15x = -5 + 5 + 35x + 35x Combine like terms: -5 + 5 = 0 15x = 0 + 35x + 35x 15x = 35x + 35x Combine like terms: 35x + 35x = 70x 15x = 70x Solving 15x = 70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70x' to each side of the equation. 15x + -70x = 70x + -70x Combine like terms: 15x + -70x = -55x -55x = 70x + -70x Combine like terms: 70x + -70x = 0 -55x = 0 Divide each side by '-55'. x = 0 Simplifying x = 0
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