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Simplifying -0.5(-4 + 2x) = -6 + -4x (-4 * -0.5 + 2x * -0.5) = -6 + -4x (2 + -1x) = -6 + -4x Solving 2 + -1x = -6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 2 + -1x + 4x = -6 + -4x + 4x Combine like terms: -1x + 4x = 3x 2 + 3x = -6 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 3x = -6 + 0 2 + 3x = -6 Add '-2' to each side of the equation. 2 + -2 + 3x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = -6 + -2 3x = -6 + -2 Combine like terms: -6 + -2 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667
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