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Simplifying -1.75(x + 2) = 0.5(-5x + -4) Reorder the terms: -1.75(2 + x) = 0.5(-5x + -4) (2 * -1.75 + x * -1.75) = 0.5(-5x + -4) (-3.5 + -1.75x) = 0.5(-5x + -4) Reorder the terms: -3.5 + -1.75x = 0.5(-4 + -5x) -3.5 + -1.75x = (-4 * 0.5 + -5x * 0.5) -3.5 + -1.75x = (-2 + -2.5x) Solving -3.5 + -1.75x = -2 + -2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5x' to each side of the equation. -3.5 + -1.75x + 2.5x = -2 + -2.5x + 2.5x Combine like terms: -1.75x + 2.5x = 0.75x -3.5 + 0.75x = -2 + -2.5x + 2.5x Combine like terms: -2.5x + 2.5x = 0.0 -3.5 + 0.75x = -2 + 0.0 -3.5 + 0.75x = -2 Add '3.5' to each side of the equation. -3.5 + 3.5 + 0.75x = -2 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 0.75x = -2 + 3.5 0.75x = -2 + 3.5 Combine like terms: -2 + 3.5 = 1.5 0.75x = 1.5 Divide each side by '0.75'. x = 2 Simplifying x = 2
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