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Simplifying 5(10x + -10) = 2(x + 8) Reorder the terms: 5(-10 + 10x) = 2(x + 8) (-10 * 5 + 10x * 5) = 2(x + 8) (-50 + 50x) = 2(x + 8) Reorder the terms: -50 + 50x = 2(8 + x) -50 + 50x = (8 * 2 + x * 2) -50 + 50x = (16 + 2x) Solving -50 + 50x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -50 + 50x + -2x = 16 + 2x + -2x Combine like terms: 50x + -2x = 48x -50 + 48x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -50 + 48x = 16 + 0 -50 + 48x = 16 Add '50' to each side of the equation. -50 + 50 + 48x = 16 + 50 Combine like terms: -50 + 50 = 0 0 + 48x = 16 + 50 48x = 16 + 50 Combine like terms: 16 + 50 = 66 48x = 66 Divide each side by '48'. x = 1.375 Simplifying x = 1.375
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