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Simplifying 10(x + 3) = 9(x + -9) Reorder the terms: 10(3 + x) = 9(x + -9) (3 * 10 + x * 10) = 9(x + -9) (30 + 10x) = 9(x + -9) Reorder the terms: 30 + 10x = 9(-9 + x) 30 + 10x = (-9 * 9 + x * 9) 30 + 10x = (-81 + 9x) Solving 30 + 10x = -81 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 30 + 10x + -9x = -81 + 9x + -9x Combine like terms: 10x + -9x = 1x 30 + 1x = -81 + 9x + -9x Combine like terms: 9x + -9x = 0 30 + 1x = -81 + 0 30 + 1x = -81 Add '-30' to each side of the equation. 30 + -30 + 1x = -81 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = -81 + -30 1x = -81 + -30 Combine like terms: -81 + -30 = -111 1x = -111 Divide each side by '1'. x = -111 Simplifying x = -111
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