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Simplifying 9(10 + -1x) = 3(x + -6) (10 * 9 + -1x * 9) = 3(x + -6) (90 + -9x) = 3(x + -6) Reorder the terms: 90 + -9x = 3(-6 + x) 90 + -9x = (-6 * 3 + x * 3) 90 + -9x = (-18 + 3x) Solving 90 + -9x = -18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 90 + -9x + -3x = -18 + 3x + -3x Combine like terms: -9x + -3x = -12x 90 + -12x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 90 + -12x = -18 + 0 90 + -12x = -18 Add '-90' to each side of the equation. 90 + -90 + -12x = -18 + -90 Combine like terms: 90 + -90 = 0 0 + -12x = -18 + -90 -12x = -18 + -90 Combine like terms: -18 + -90 = -108 -12x = -108 Divide each side by '-12'. x = 9 Simplifying x = 9
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