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