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Simplifying -0.75(-1x + 8) = 0.5(6x + -10) Reorder the terms: -0.75(8 + -1x) = 0.5(6x + -10) (8 * -0.75 + -1x * -0.75) = 0.5(6x + -10) (-6 + 0.75x) = 0.5(6x + -10) Reorder the terms: -6 + 0.75x = 0.5(-10 + 6x) -6 + 0.75x = (-10 * 0.5 + 6x * 0.5) -6 + 0.75x = (-5 + 3x) Solving -6 + 0.75x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + 0.75x + -3x = -5 + 3x + -3x Combine like terms: 0.75x + -3x = -2.25x -6 + -2.25x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -2.25x = -5 + 0 -6 + -2.25x = -5 Add '6' to each side of the equation. -6 + 6 + -2.25x = -5 + 6 Combine like terms: -6 + 6 = 0 0 + -2.25x = -5 + 6 -2.25x = -5 + 6 Combine like terms: -5 + 6 = 1 -2.25x = 1 Divide each side by '-2.25'. x = -0.4444444444 Simplifying x = -0.4444444444
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