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Simplifying 14x + -1(25x + -18) = 34x + -1(15 + -30) + 18 Reorder the terms: 14x + -1(-18 + 25x) = 34x + -1(15 + -30) + 18 14x + (-18 * -1 + 25x * -1) = 34x + -1(15 + -30) + 18 14x + (18 + -25x) = 34x + -1(15 + -30) + 18 Reorder the terms: 18 + 14x + -25x = 34x + -1(15 + -30) + 18 Combine like terms: 14x + -25x = -11x 18 + -11x = 34x + -1(15 + -30) + 18 Combine like terms: 15 + -30 = -15 18 + -11x = 34x + -1(-15) + 18 Multiply -1 * -15 18 + -11x = 34x + 15 + 18 Reorder the terms: 18 + -11x = 15 + 18 + 34x Combine like terms: 15 + 18 = 33 18 + -11x = 33 + 34x Solving 18 + -11x = 33 + 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. 18 + -11x + -34x = 33 + 34x + -34x Combine like terms: -11x + -34x = -45x 18 + -45x = 33 + 34x + -34x Combine like terms: 34x + -34x = 0 18 + -45x = 33 + 0 18 + -45x = 33 Add '-18' to each side of the equation. 18 + -18 + -45x = 33 + -18 Combine like terms: 18 + -18 = 0 0 + -45x = 33 + -18 -45x = 33 + -18 Combine like terms: 33 + -18 = 15 -45x = 15 Divide each side by '-45'. x = -0.3333333333 Simplifying x = -0.3333333333
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