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Simplifying 15(x + -1) + 20(x + 1) = 0 Reorder the terms: 15(-1 + x) + 20(x + 1) = 0 (-1 * 15 + x * 15) + 20(x + 1) = 0 (-15 + 15x) + 20(x + 1) = 0 Reorder the terms: -15 + 15x + 20(1 + x) = 0 -15 + 15x + (1 * 20 + x * 20) = 0 -15 + 15x + (20 + 20x) = 0 Reorder the terms: -15 + 20 + 15x + 20x = 0 Combine like terms: -15 + 20 = 5 5 + 15x + 20x = 0 Combine like terms: 15x + 20x = 35x 5 + 35x = 0 Solving 5 + 35x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 35x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 35x = 0 + -5 35x = 0 + -5 Combine like terms: 0 + -5 = -5 35x = -5 Divide each side by '35'. x = -0.1428571429 Simplifying x = -0.1428571429
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