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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 = -14 -4 + 8x = -14 + -6x Solving -4 + 8x = -14 + -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 = -14 + -6x + 6x Combine like terms: 8x + 6x = 14x -4 + 14x = -14 + -6x + 6x Combine like terms: -6x + 6x = 0 -4 + 14x = -14 + 0 -4 + 14x = -14 Add '4' to each side of the equation. -4 + 4 + 14x = -14 + 4 Combine like terms: -4 + 4 = 0 0 + 14x = -14 + 4 14x = -14 + 4 Combine like terms: -14 + 4 = -10 14x = -10 Divide each side by '14'. x = -0.7142857143 Simplifying x = -0.7142857143
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