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Simplifying -10(x + 6) + 10 = 10(1 + 5x) Reorder the terms: -10(6 + x) + 10 = 10(1 + 5x) (6 * -10 + x * -10) + 10 = 10(1 + 5x) (-60 + -10x) + 10 = 10(1 + 5x) Reorder the terms: -60 + 10 + -10x = 10(1 + 5x) Combine like terms: -60 + 10 = -50 -50 + -10x = 10(1 + 5x) -50 + -10x = (1 * 10 + 5x * 10) -50 + -10x = (10 + 50x) Solving -50 + -10x = 10 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. -50 + -10x + -50x = 10 + 50x + -50x Combine like terms: -10x + -50x = -60x -50 + -60x = 10 + 50x + -50x Combine like terms: 50x + -50x = 0 -50 + -60x = 10 + 0 -50 + -60x = 10 Add '50' to each side of the equation. -50 + 50 + -60x = 10 + 50 Combine like terms: -50 + 50 = 0 0 + -60x = 10 + 50 -60x = 10 + 50 Combine like terms: 10 + 50 = 60 -60x = 60 Divide each side by '-60'. x = -1 Simplifying x = -1
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