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Simplifying 0.5(x + -4) = 0.75(2x + -7) Reorder the terms: 0.5(-4 + x) = 0.75(2x + -7) (-4 * 0.5 + x * 0.5) = 0.75(2x + -7) (-2 + 0.5x) = 0.75(2x + -7) Reorder the terms: -2 + 0.5x = 0.75(-7 + 2x) -2 + 0.5x = (-7 * 0.75 + 2x * 0.75) -2 + 0.5x = (-5.25 + 1.5x) Solving -2 + 0.5x = -5.25 + 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. -2 + 0.5x + -1.5x = -5.25 + 1.5x + -1.5x Combine like terms: 0.5x + -1.5x = -1x -2 + -1x = -5.25 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -2 + -1x = -5.25 + 0.0 -2 + -1x = -5.25 Add '2' to each side of the equation. -2 + 2 + -1x = -5.25 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -5.25 + 2 -1x = -5.25 + 2 Combine like terms: -5.25 + 2 = -3.25 -1x = -3.25 Divide each side by '-1'. x = 3.25 Simplifying x = 3.25
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