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Simplifying 17(1x + -5) = 10(1x + 5) Reorder the terms: 17(-5 + 1x) = 10(1x + 5) (-5 * 17 + 1x * 17) = 10(1x + 5) (-85 + 17x) = 10(1x + 5) Reorder the terms: -85 + 17x = 10(5 + 1x) -85 + 17x = (5 * 10 + 1x * 10) -85 + 17x = (50 + 10x) Solving -85 + 17x = 50 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -85 + 17x + -10x = 50 + 10x + -10x Combine like terms: 17x + -10x = 7x -85 + 7x = 50 + 10x + -10x Combine like terms: 10x + -10x = 0 -85 + 7x = 50 + 0 -85 + 7x = 50 Add '85' to each side of the equation. -85 + 85 + 7x = 50 + 85 Combine like terms: -85 + 85 = 0 0 + 7x = 50 + 85 7x = 50 + 85 Combine like terms: 50 + 85 = 135 7x = 135 Divide each side by '7'. x = 19.28571429 Simplifying x = 19.28571429
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