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Simplifying 2(3x + -2) = 2(17x + 18) Reorder the terms: 2(-2 + 3x) = 2(17x + 18) (-2 * 2 + 3x * 2) = 2(17x + 18) (-4 + 6x) = 2(17x + 18) Reorder the terms: -4 + 6x = 2(18 + 17x) -4 + 6x = (18 * 2 + 17x * 2) -4 + 6x = (36 + 34x) Solving -4 + 6x = 36 + 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. -4 + 6x + -34x = 36 + 34x + -34x Combine like terms: 6x + -34x = -28x -4 + -28x = 36 + 34x + -34x Combine like terms: 34x + -34x = 0 -4 + -28x = 36 + 0 -4 + -28x = 36 Add '4' to each side of the equation. -4 + 4 + -28x = 36 + 4 Combine like terms: -4 + 4 = 0 0 + -28x = 36 + 4 -28x = 36 + 4 Combine like terms: 36 + 4 = 40 -28x = 40 Divide each side by '-28'. x = -1.428571429 Simplifying x = -1.428571429
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