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Simplifying (12x + -9) = (13x + -19) Reorder the terms: (-9 + 12x) = (13x + -19) Remove parenthesis around (-9 + 12x) -9 + 12x = (13x + -19) Reorder the terms: -9 + 12x = (-19 + 13x) Remove parenthesis around (-19 + 13x) -9 + 12x = -19 + 13x Solving -9 + 12x = -19 + 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. -9 + 12x + -13x = -19 + 13x + -13x Combine like terms: 12x + -13x = -1x -9 + -1x = -19 + 13x + -13x Combine like terms: 13x + -13x = 0 -9 + -1x = -19 + 0 -9 + -1x = -19 Add '9' to each side of the equation. -9 + 9 + -1x = -19 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = -19 + 9 -1x = -19 + 9 Combine like terms: -19 + 9 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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