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Simplifying (0.5x + -8) + -1(0.5(-0.5x + -8)) + -2 = x Reorder the terms: (-8 + 0.5x) + -1(0.5(-0.5x + -8)) + -2 = x Remove parenthesis around (-8 + 0.5x) -8 + 0.5x + -1(0.5(-0.5x + -8)) + -2 = x Reorder the terms: -8 + 0.5x + -1(0.5(-8 + -0.5x)) + -2 = x -8 + 0.5x + -1((-8 * 0.5 + -0.5x * 0.5)) + -2 = x -8 + 0.5x + -1((-4 + -0.25x)) + -2 = x -8 + 0.5x + (-4 * -1 + -0.25x * -1) + -2 = x -8 + 0.5x + (4 + 0.25x) + -2 = x Reorder the terms: -8 + 4 + -2 + 0.5x + 0.25x = x Combine like terms: -8 + 4 = -4 -4 + -2 + 0.5x + 0.25x = x Combine like terms: -4 + -2 = -6 -6 + 0.5x + 0.25x = x Combine like terms: 0.5x + 0.25x = 0.75x -6 + 0.75x = x Solving -6 + 0.75x = x 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. -6 + 0.75x + -1x = x + -1x Combine like terms: 0.75x + -1x = -0.25x -6 + -0.25x = x + -1x Combine like terms: x + -1x = 0 -6 + -0.25x = 0 Add '6' to each side of the equation. -6 + 6 + -0.25x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -0.25x = 0 + 6 -0.25x = 0 + 6 Combine like terms: 0 + 6 = 6 -0.25x = 6 Divide each side by '-0.25'. x = -24 Simplifying x = -24
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