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Simplifying 0.5(2x + -4) = -0.75(4x + -16) Reorder the terms: 0.5(-4 + 2x) = -0.75(4x + -16) (-4 * 0.5 + 2x * 0.5) = -0.75(4x + -16) (-2 + 1x) = -0.75(4x + -16) Reorder the terms: -2 + 1x = -0.75(-16 + 4x) -2 + 1x = (-16 * -0.75 + 4x * -0.75) -2 + 1x = (12 + -3x) Solving -2 + 1x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -2 + 1x + 3x = 12 + -3x + 3x Combine like terms: 1x + 3x = 4x -2 + 4x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 4x = 12 + 0 -2 + 4x = 12 Add '2' to each side of the equation. -2 + 2 + 4x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 12 + 2 4x = 12 + 2 Combine like terms: 12 + 2 = 14 4x = 14 Divide each side by '4'. x = 3.5 Simplifying x = 3.5
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