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Simplifying -4(2x + -1) = 6(x + 2) + -2 Reorder the terms: -4(-1 + 2x) = 6(x + 2) + -2 (-1 * -4 + 2x * -4) = 6(x + 2) + -2 (4 + -8x) = 6(x + 2) + -2 Reorder the terms: 4 + -8x = 6(2 + x) + -2 4 + -8x = (2 * 6 + x * 6) + -2 4 + -8x = (12 + 6x) + -2 Reorder the terms: 4 + -8x = 12 + -2 + 6x Combine like terms: 12 + -2 = 10 4 + -8x = 10 + 6x Solving 4 + -8x = 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. 4 + -8x + -6x = 10 + 6x + -6x Combine like terms: -8x + -6x = -14x 4 + -14x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -14x = 10 + 0 4 + -14x = 10 Add '-4' to each side of the equation. 4 + -4 + -14x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -14x = 10 + -4 -14x = 10 + -4 Combine like terms: 10 + -4 = 6 -14x = 6 Divide each side by '-14'. x = -0.4285714286 Simplifying x = -0.4285714286
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