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Simplifying 8(10x + -10) = 85x + 500 Reorder the terms: 8(-10 + 10x) = 85x + 500 (-10 * 8 + 10x * 8) = 85x + 500 (-80 + 80x) = 85x + 500 Reorder the terms: -80 + 80x = 500 + 85x Solving -80 + 80x = 500 + 85x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-85x' to each side of the equation. -80 + 80x + -85x = 500 + 85x + -85x Combine like terms: 80x + -85x = -5x -80 + -5x = 500 + 85x + -85x Combine like terms: 85x + -85x = 0 -80 + -5x = 500 + 0 -80 + -5x = 500 Add '80' to each side of the equation. -80 + 80 + -5x = 500 + 80 Combine like terms: -80 + 80 = 0 0 + -5x = 500 + 80 -5x = 500 + 80 Combine like terms: 500 + 80 = 580 -5x = 580 Divide each side by '-5'. x = -116 Simplifying x = -116
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