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Simplifying 2(0.5x + -4) = -1(x + -5) Reorder the terms: 2(-4 + 0.5x) = -1(x + -5) (-4 * 2 + 0.5x * 2) = -1(x + -5) (-8 + 1x) = -1(x + -5) Reorder the terms: -8 + 1x = -1(-5 + x) -8 + 1x = (-5 * -1 + x * -1) -8 + 1x = (5 + -1x) Solving -8 + 1x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -8 + 1x + x = 5 + -1x + x Combine like terms: 1x + x = 2x -8 + 2x = 5 + -1x + x Combine like terms: -1x + x = 0 -8 + 2x = 5 + 0 -8 + 2x = 5 Add '8' to each side of the equation. -8 + 8 + 2x = 5 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 5 + 8 2x = 5 + 8 Combine like terms: 5 + 8 = 13 2x = 13 Divide each side by '2'. x = 6.5 Simplifying x = 6.5
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