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Simplifying 9(11 + -1x) + -4x = 5(21 + -2x) + 9x (11 * 9 + -1x * 9) + -4x = 5(21 + -2x) + 9x (99 + -9x) + -4x = 5(21 + -2x) + 9x Combine like terms: -9x + -4x = -13x 99 + -13x = 5(21 + -2x) + 9x 99 + -13x = (21 * 5 + -2x * 5) + 9x 99 + -13x = (105 + -10x) + 9x Combine like terms: -10x + 9x = -1x 99 + -13x = 105 + -1x Solving 99 + -13x = 105 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 99 + -13x + x = 105 + -1x + x Combine like terms: -13x + x = -12x 99 + -12x = 105 + -1x + x Combine like terms: -1x + x = 0 99 + -12x = 105 + 0 99 + -12x = 105 Add '-99' to each side of the equation. 99 + -99 + -12x = 105 + -99 Combine like terms: 99 + -99 = 0 0 + -12x = 105 + -99 -12x = 105 + -99 Combine like terms: 105 + -99 = 6 -12x = 6 Divide each side by '-12'. x = -0.5 Simplifying x = -0.5
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