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Simplifying 0 = (3 + -2x) * 4 + -2 + 14x Reorder the terms for easier multiplication: 0 = 4(3 + -2x) + -2 + 14x 0 = (3 * 4 + -2x * 4) + -2 + 14x 0 = (12 + -8x) + -2 + 14x Reorder the terms: 0 = 12 + -2 + -8x + 14x Combine like terms: 12 + -2 = 10 0 = 10 + -8x + 14x Combine like terms: -8x + 14x = 6x 0 = 10 + 6x Solving 0 = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 0 + -6x = 10 + 6x + -6x Remove the zero: -6x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -6x = 10 + 0 -6x = 10 Divide each side by '-6'. x = -1.666666667 Simplifying x = -1.666666667
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