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Simplifying 0.5(10x + -8) + -1(x + 4) = 0 Reorder the terms: 0.5(-8 + 10x) + -1(x + 4) = 0 (-8 * 0.5 + 10x * 0.5) + -1(x + 4) = 0 (-4 + 5x) + -1(x + 4) = 0 Reorder the terms: -4 + 5x + -1(4 + x) = 0 -4 + 5x + (4 * -1 + x * -1) = 0 -4 + 5x + (-4 + -1x) = 0 Reorder the terms: -4 + -4 + 5x + -1x = 0 Combine like terms: -4 + -4 = -8 -8 + 5x + -1x = 0 Combine like terms: 5x + -1x = 4x -8 + 4x = 0 Solving -8 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 4x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 0 + 8 4x = 0 + 8 Combine like terms: 0 + 8 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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