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Simplifying 10(-10x + -9) = 5(-6x + 10) Reorder the terms: 10(-9 + -10x) = 5(-6x + 10) (-9 * 10 + -10x * 10) = 5(-6x + 10) (-90 + -100x) = 5(-6x + 10) Reorder the terms: -90 + -100x = 5(10 + -6x) -90 + -100x = (10 * 5 + -6x * 5) -90 + -100x = (50 + -30x) Solving -90 + -100x = 50 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -90 + -100x + 30x = 50 + -30x + 30x Combine like terms: -100x + 30x = -70x -90 + -70x = 50 + -30x + 30x Combine like terms: -30x + 30x = 0 -90 + -70x = 50 + 0 -90 + -70x = 50 Add '90' to each side of the equation. -90 + 90 + -70x = 50 + 90 Combine like terms: -90 + 90 = 0 0 + -70x = 50 + 90 -70x = 50 + 90 Combine like terms: 50 + 90 = 140 -70x = 140 Divide each side by '-70'. x = -2 Simplifying x = -2
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