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Simplifying -50 = 5(1 + 8x) + -5(5 + 7x) -50 = (1 * 5 + 8x * 5) + -5(5 + 7x) -50 = (5 + 40x) + -5(5 + 7x) -50 = 5 + 40x + (5 * -5 + 7x * -5) -50 = 5 + 40x + (-25 + -35x) Reorder the terms: -50 = 5 + -25 + 40x + -35x Combine like terms: 5 + -25 = -20 -50 = -20 + 40x + -35x Combine like terms: 40x + -35x = 5x -50 = -20 + 5x Solving -50 = -20 + 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. -50 + -5x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 -50 + -5x = -20 + 0 -50 + -5x = -20 Add '50' to each side of the equation. -50 + 50 + -5x = -20 + 50 Combine like terms: -50 + 50 = 0 0 + -5x = -20 + 50 -5x = -20 + 50 Combine like terms: -20 + 50 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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