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Simplifying (39x + -27) + -1(25x + -48) = (34x + -17) + -1(23x + -63) Reorder the terms: (-27 + 39x) + -1(25x + -48) = (34x + -17) + -1(23x + -63) Remove parenthesis around (-27 + 39x) -27 + 39x + -1(25x + -48) = (34x + -17) + -1(23x + -63) Reorder the terms: -27 + 39x + -1(-48 + 25x) = (34x + -17) + -1(23x + -63) -27 + 39x + (-48 * -1 + 25x * -1) = (34x + -17) + -1(23x + -63) -27 + 39x + (48 + -25x) = (34x + -17) + -1(23x + -63) Reorder the terms: -27 + 48 + 39x + -25x = (34x + -17) + -1(23x + -63) Combine like terms: -27 + 48 = 21 21 + 39x + -25x = (34x + -17) + -1(23x + -63) Combine like terms: 39x + -25x = 14x 21 + 14x = (34x + -17) + -1(23x + -63) Reorder the terms: 21 + 14x = (-17 + 34x) + -1(23x + -63) Remove parenthesis around (-17 + 34x) 21 + 14x = -17 + 34x + -1(23x + -63) Reorder the terms: 21 + 14x = -17 + 34x + -1(-63 + 23x) 21 + 14x = -17 + 34x + (-63 * -1 + 23x * -1) 21 + 14x = -17 + 34x + (63 + -23x) Reorder the terms: 21 + 14x = -17 + 63 + 34x + -23x Combine like terms: -17 + 63 = 46 21 + 14x = 46 + 34x + -23x Combine like terms: 34x + -23x = 11x 21 + 14x = 46 + 11x Solving 21 + 14x = 46 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 21 + 14x + -11x = 46 + 11x + -11x Combine like terms: 14x + -11x = 3x 21 + 3x = 46 + 11x + -11x Combine like terms: 11x + -11x = 0 21 + 3x = 46 + 0 21 + 3x = 46 Add '-21' to each side of the equation. 21 + -21 + 3x = 46 + -21 Combine like terms: 21 + -21 = 0 0 + 3x = 46 + -21 3x = 46 + -21 Combine like terms: 46 + -21 = 25 3x = 25 Divide each side by '3'. x = 8.333333333 Simplifying x = 8.333333333
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