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Simplifying 2(x + -4) = 0.5(5 + -3x) Reorder the terms: 2(-4 + x) = 0.5(5 + -3x) (-4 * 2 + x * 2) = 0.5(5 + -3x) (-8 + 2x) = 0.5(5 + -3x) -8 + 2x = (5 * 0.5 + -3x * 0.5) -8 + 2x = (2.5 + -1.5x) Solving -8 + 2x = 2.5 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. -8 + 2x + 1.5x = 2.5 + -1.5x + 1.5x Combine like terms: 2x + 1.5x = 3.5x -8 + 3.5x = 2.5 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 -8 + 3.5x = 2.5 + 0.0 -8 + 3.5x = 2.5 Add '8' to each side of the equation. -8 + 8 + 3.5x = 2.5 + 8 Combine like terms: -8 + 8 = 0 0 + 3.5x = 2.5 + 8 3.5x = 2.5 + 8 Combine like terms: 2.5 + 8 = 10.5 3.5x = 10.5 Divide each side by '3.5'. x = 3 Simplifying x = 3
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