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Simplifying 2(3x + -4) = 2(17x + 12) Reorder the terms: 2(-4 + 3x) = 2(17x + 12) (-4 * 2 + 3x * 2) = 2(17x + 12) (-8 + 6x) = 2(17x + 12) Reorder the terms: -8 + 6x = 2(12 + 17x) -8 + 6x = (12 * 2 + 17x * 2) -8 + 6x = (24 + 34x) Solving -8 + 6x = 24 + 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. -8 + 6x + -34x = 24 + 34x + -34x Combine like terms: 6x + -34x = -28x -8 + -28x = 24 + 34x + -34x Combine like terms: 34x + -34x = 0 -8 + -28x = 24 + 0 -8 + -28x = 24 Add '8' to each side of the equation. -8 + 8 + -28x = 24 + 8 Combine like terms: -8 + 8 = 0 0 + -28x = 24 + 8 -28x = 24 + 8 Combine like terms: 24 + 8 = 32 -28x = 32 Divide each side by '-28'. x = -1.142857143 Simplifying x = -1.142857143
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