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Simplifying -10(x + 1) = -9(-6x + -6) Reorder the terms: -10(1 + x) = -9(-6x + -6) (1 * -10 + x * -10) = -9(-6x + -6) (-10 + -10x) = -9(-6x + -6) Reorder the terms: -10 + -10x = -9(-6 + -6x) -10 + -10x = (-6 * -9 + -6x * -9) -10 + -10x = (54 + 54x) Solving -10 + -10x = 54 + 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. -10 + -10x + -54x = 54 + 54x + -54x Combine like terms: -10x + -54x = -64x -10 + -64x = 54 + 54x + -54x Combine like terms: 54x + -54x = 0 -10 + -64x = 54 + 0 -10 + -64x = 54 Add '10' to each side of the equation. -10 + 10 + -64x = 54 + 10 Combine like terms: -10 + 10 = 0 0 + -64x = 54 + 10 -64x = 54 + 10 Combine like terms: 54 + 10 = 64 -64x = 64 Divide each side by '-64'. x = -1 Simplifying x = -1
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