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Simplifying -4(x + 2) + -0.5(2x + -6) = 0 Reorder the terms: -4(2 + x) + -0.5(2x + -6) = 0 (2 * -4 + x * -4) + -0.5(2x + -6) = 0 (-8 + -4x) + -0.5(2x + -6) = 0 Reorder the terms: -8 + -4x + -0.5(-6 + 2x) = 0 -8 + -4x + (-6 * -0.5 + 2x * -0.5) = 0 -8 + -4x + (3 + -1x) = 0 Reorder the terms: -8 + 3 + -4x + -1x = 0 Combine like terms: -8 + 3 = -5 -5 + -4x + -1x = 0 Combine like terms: -4x + -1x = -5x -5 + -5x = 0 Solving -5 + -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -5x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = 0 + 5 -5x = 0 + 5 Combine like terms: 0 + 5 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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