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Simplifying -0.75(-1x + 8) + 2 = 0.5(2x + -10) Reorder the terms: -0.75(8 + -1x) + 2 = 0.5(2x + -10) (8 * -0.75 + -1x * -0.75) + 2 = 0.5(2x + -10) (-6 + 0.75x) + 2 = 0.5(2x + -10) Reorder the terms: -6 + 2 + 0.75x = 0.5(2x + -10) Combine like terms: -6 + 2 = -4 -4 + 0.75x = 0.5(2x + -10) Reorder the terms: -4 + 0.75x = 0.5(-10 + 2x) -4 + 0.75x = (-10 * 0.5 + 2x * 0.5) -4 + 0.75x = (-5 + 1x) Solving -4 + 0.75x = -5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + 0.75x + -1x = -5 + 1x + -1x Combine like terms: 0.75x + -1x = -0.25x -4 + -0.25x = -5 + 1x + -1x Combine like terms: 1x + -1x = 0 -4 + -0.25x = -5 + 0 -4 + -0.25x = -5 Add '4' to each side of the equation. -4 + 4 + -0.25x = -5 + 4 Combine like terms: -4 + 4 = 0 0 + -0.25x = -5 + 4 -0.25x = -5 + 4 Combine like terms: -5 + 4 = -1 -0.25x = -1 Divide each side by '-0.25'. x = 4 Simplifying x = 4
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