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Simplifying 5(21 + -2x) + 9x = 9(13 + -1x) + -4x (21 * 5 + -2x * 5) + 9x = 9(13 + -1x) + -4x (105 + -10x) + 9x = 9(13 + -1x) + -4x Combine like terms: -10x + 9x = -1x 105 + -1x = 9(13 + -1x) + -4x 105 + -1x = (13 * 9 + -1x * 9) + -4x 105 + -1x = (117 + -9x) + -4x Combine like terms: -9x + -4x = -13x 105 + -1x = 117 + -13x Solving 105 + -1x = 117 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 105 + -1x + 13x = 117 + -13x + 13x Combine like terms: -1x + 13x = 12x 105 + 12x = 117 + -13x + 13x Combine like terms: -13x + 13x = 0 105 + 12x = 117 + 0 105 + 12x = 117 Add '-105' to each side of the equation. 105 + -105 + 12x = 117 + -105 Combine like terms: 105 + -105 = 0 0 + 12x = 117 + -105 12x = 117 + -105 Combine like terms: 117 + -105 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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