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Simplifying 12x + (13 + -19) + -1(11x + -15) = 25 + -1(17 + -13x) Combine like terms: 13 + -19 = -6 12x + (-6) + -1(11x + -15) = 25 + -1(17 + -13x) 12x + -6 + -1(11x + -15) = 25 + -1(17 + -13x) Reorder the terms: 12x + -6 + -1(-15 + 11x) = 25 + -1(17 + -13x) 12x + -6 + (-15 * -1 + 11x * -1) = 25 + -1(17 + -13x) 12x + -6 + (15 + -11x) = 25 + -1(17 + -13x) Reorder the terms: -6 + 15 + 12x + -11x = 25 + -1(17 + -13x) Combine like terms: -6 + 15 = 9 9 + 12x + -11x = 25 + -1(17 + -13x) Combine like terms: 12x + -11x = 1x 9 + 1x = 25 + -1(17 + -13x) 9 + 1x = 25 + (17 * -1 + -13x * -1) 9 + 1x = 25 + (-17 + 13x) Combine like terms: 25 + -17 = 8 9 + 1x = 8 + 13x Solving 9 + 1x = 8 + 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 + 1x + -13x = 8 + 13x + -13x Combine like terms: 1x + -13x = -12x 9 + -12x = 8 + 13x + -13x Combine like terms: 13x + -13x = 0 9 + -12x = 8 + 0 9 + -12x = 8 Add '-9' to each side of the equation. 9 + -9 + -12x = 8 + -9 Combine like terms: 9 + -9 = 0 0 + -12x = 8 + -9 -12x = 8 + -9 Combine like terms: 8 + -9 = -1 -12x = -1 Divide each side by '-12'. x = 0.08333333333 Simplifying x = 0.08333333333
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