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Simplifying 0.5(-1x + -4) = 1.75(1x + -1) Reorder the terms: 0.5(-4 + -1x) = 1.75(1x + -1) (-4 * 0.5 + -1x * 0.5) = 1.75(1x + -1) (-2 + -0.5x) = 1.75(1x + -1) Reorder the terms: -2 + -0.5x = 1.75(-1 + 1x) -2 + -0.5x = (-1 * 1.75 + 1x * 1.75) -2 + -0.5x = (-1.75 + 1.75x) Solving -2 + -0.5x = -1.75 + 1.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.75x' to each side of the equation. -2 + -0.5x + -1.75x = -1.75 + 1.75x + -1.75x Combine like terms: -0.5x + -1.75x = -2.25x -2 + -2.25x = -1.75 + 1.75x + -1.75x Combine like terms: 1.75x + -1.75x = 0.00 -2 + -2.25x = -1.75 + 0.00 -2 + -2.25x = -1.75 Add '2' to each side of the equation. -2 + 2 + -2.25x = -1.75 + 2 Combine like terms: -2 + 2 = 0 0 + -2.25x = -1.75 + 2 -2.25x = -1.75 + 2 Combine like terms: -1.75 + 2 = 0.25 -2.25x = 0.25 Divide each side by '-2.25'. x = -0.1111111111 Simplifying x = -0.1111111111
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