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Simplifying (77 + -13x) + (58 + -6x) = (129 + -22x) Remove parenthesis around (77 + -13x) 77 + -13x + (58 + -6x) = (129 + -22x) Remove parenthesis around (58 + -6x) 77 + -13x + 58 + -6x = (129 + -22x) Reorder the terms: 77 + 58 + -13x + -6x = (129 + -22x) Combine like terms: 77 + 58 = 135 135 + -13x + -6x = (129 + -22x) Combine like terms: -13x + -6x = -19x 135 + -19x = (129 + -22x) Remove parenthesis around (129 + -22x) 135 + -19x = 129 + -22x Solving 135 + -19x = 129 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. 135 + -19x + 22x = 129 + -22x + 22x Combine like terms: -19x + 22x = 3x 135 + 3x = 129 + -22x + 22x Combine like terms: -22x + 22x = 0 135 + 3x = 129 + 0 135 + 3x = 129 Add '-135' to each side of the equation. 135 + -135 + 3x = 129 + -135 Combine like terms: 135 + -135 = 0 0 + 3x = 129 + -135 3x = 129 + -135 Combine like terms: 129 + -135 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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