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Simplifying (7x + -8) + (4x + 20) = (13x + -6) Reorder the terms: (-8 + 7x) + (4x + 20) = (13x + -6) Remove parenthesis around (-8 + 7x) -8 + 7x + (4x + 20) = (13x + -6) Reorder the terms: -8 + 7x + (20 + 4x) = (13x + -6) Remove parenthesis around (20 + 4x) -8 + 7x + 20 + 4x = (13x + -6) Reorder the terms: -8 + 20 + 7x + 4x = (13x + -6) Combine like terms: -8 + 20 = 12 12 + 7x + 4x = (13x + -6) Combine like terms: 7x + 4x = 11x 12 + 11x = (13x + -6) Reorder the terms: 12 + 11x = (-6 + 13x) Remove parenthesis around (-6 + 13x) 12 + 11x = -6 + 13x Solving 12 + 11x = -6 + 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. 12 + 11x + -13x = -6 + 13x + -13x Combine like terms: 11x + -13x = -2x 12 + -2x = -6 + 13x + -13x Combine like terms: 13x + -13x = 0 12 + -2x = -6 + 0 12 + -2x = -6 Add '-12' to each side of the equation. 12 + -12 + -2x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = -6 + -12 -2x = -6 + -12 Combine like terms: -6 + -12 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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