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Simplifying 9(x + 11) = -5(13 + -2x) Reorder the terms: 9(11 + x) = -5(13 + -2x) (11 * 9 + x * 9) = -5(13 + -2x) (99 + 9x) = -5(13 + -2x) 99 + 9x = (13 * -5 + -2x * -5) 99 + 9x = (-65 + 10x) Solving 99 + 9x = -65 + 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. 99 + 9x + -10x = -65 + 10x + -10x Combine like terms: 9x + -10x = -1x 99 + -1x = -65 + 10x + -10x Combine like terms: 10x + -10x = 0 99 + -1x = -65 + 0 99 + -1x = -65 Add '-99' to each side of the equation. 99 + -99 + -1x = -65 + -99 Combine like terms: 99 + -99 = 0 0 + -1x = -65 + -99 -1x = -65 + -99 Combine like terms: -65 + -99 = -164 -1x = -164 Divide each side by '-1'. x = 164 Simplifying x = 164
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