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Simplifying 6(8x + -5) + -5(7 + -2x) + 9(-10x + 5) = -5(7 + -7x) Reorder the terms: 6(-5 + 8x) + -5(7 + -2x) + 9(-10x + 5) = -5(7 + -7x) (-5 * 6 + 8x * 6) + -5(7 + -2x) + 9(-10x + 5) = -5(7 + -7x) (-30 + 48x) + -5(7 + -2x) + 9(-10x + 5) = -5(7 + -7x) -30 + 48x + (7 * -5 + -2x * -5) + 9(-10x + 5) = -5(7 + -7x) -30 + 48x + (-35 + 10x) + 9(-10x + 5) = -5(7 + -7x) Reorder the terms: -30 + 48x + -35 + 10x + 9(5 + -10x) = -5(7 + -7x) -30 + 48x + -35 + 10x + (5 * 9 + -10x * 9) = -5(7 + -7x) -30 + 48x + -35 + 10x + (45 + -90x) = -5(7 + -7x) Reorder the terms: -30 + -35 + 45 + 48x + 10x + -90x = -5(7 + -7x) Combine like terms: -30 + -35 = -65 -65 + 45 + 48x + 10x + -90x = -5(7 + -7x) Combine like terms: -65 + 45 = -20 -20 + 48x + 10x + -90x = -5(7 + -7x) Combine like terms: 48x + 10x = 58x -20 + 58x + -90x = -5(7 + -7x) Combine like terms: 58x + -90x = -32x -20 + -32x = -5(7 + -7x) -20 + -32x = (7 * -5 + -7x * -5) -20 + -32x = (-35 + 35x) Solving -20 + -32x = -35 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -20 + -32x + -35x = -35 + 35x + -35x Combine like terms: -32x + -35x = -67x -20 + -67x = -35 + 35x + -35x Combine like terms: 35x + -35x = 0 -20 + -67x = -35 + 0 -20 + -67x = -35 Add '20' to each side of the equation. -20 + 20 + -67x = -35 + 20 Combine like terms: -20 + 20 = 0 0 + -67x = -35 + 20 -67x = -35 + 20 Combine like terms: -35 + 20 = -15 -67x = -15 Divide each side by '-67'. x = 0.223880597 Simplifying x = 0.223880597
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