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Simplifying 9(13 + -1x) + -4x = 5(21 + -2x) + x (13 * 9 + -1x * 9) + -4x = 5(21 + -2x) + x (117 + -9x) + -4x = 5(21 + -2x) + x Combine like terms: -9x + -4x = -13x 117 + -13x = 5(21 + -2x) + x 117 + -13x = (21 * 5 + -2x * 5) + x 117 + -13x = (105 + -10x) + x Combine like terms: -10x + x = -9x 117 + -13x = 105 + -9x Solving 117 + -13x = 105 + -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. 117 + -13x + 9x = 105 + -9x + 9x Combine like terms: -13x + 9x = -4x 117 + -4x = 105 + -9x + 9x Combine like terms: -9x + 9x = 0 117 + -4x = 105 + 0 117 + -4x = 105 Add '-117' to each side of the equation. 117 + -117 + -4x = 105 + -117 Combine like terms: 117 + -117 = 0 0 + -4x = 105 + -117 -4x = 105 + -117 Combine like terms: 105 + -117 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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