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Simplifying 0.5(x + -2) = 0.75(x + -2) Reorder the terms: 0.5(-2 + x) = 0.75(x + -2) (-2 * 0.5 + x * 0.5) = 0.75(x + -2) (-1 + 0.5x) = 0.75(x + -2) Reorder the terms: -1 + 0.5x = 0.75(-2 + x) -1 + 0.5x = (-2 * 0.75 + x * 0.75) -1 + 0.5x = (-1.5 + 0.75x) Solving -1 + 0.5x = -1.5 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. -1 + 0.5x + -0.75x = -1.5 + 0.75x + -0.75x Combine like terms: 0.5x + -0.75x = -0.25x -1 + -0.25x = -1.5 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 -1 + -0.25x = -1.5 + 0.00 -1 + -0.25x = -1.5 Add '1' to each side of the equation. -1 + 1 + -0.25x = -1.5 + 1 Combine like terms: -1 + 1 = 0 0 + -0.25x = -1.5 + 1 -0.25x = -1.5 + 1 Combine like terms: -1.5 + 1 = -0.5 -0.25x = -0.5 Divide each side by '-0.25'. x = 2 Simplifying x = 2
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