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Simplifying 0.5(x + -12) + 2 = 1.25(x + 8) + -9.5 Reorder the terms: 0.5(-12 + x) + 2 = 1.25(x + 8) + -9.5 (-12 * 0.5 + x * 0.5) + 2 = 1.25(x + 8) + -9.5 (-6 + 0.5x) + 2 = 1.25(x + 8) + -9.5 Reorder the terms: -6 + 2 + 0.5x = 1.25(x + 8) + -9.5 Combine like terms: -6 + 2 = -4 -4 + 0.5x = 1.25(x + 8) + -9.5 Reorder the terms: -4 + 0.5x = 1.25(8 + x) + -9.5 -4 + 0.5x = (8 * 1.25 + x * 1.25) + -9.5 -4 + 0.5x = (10 + 1.25x) + -9.5 Reorder the terms: -4 + 0.5x = 10 + -9.5 + 1.25x Combine like terms: 10 + -9.5 = 0.5 -4 + 0.5x = 0.5 + 1.25x Solving -4 + 0.5x = 0.5 + 1.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25x' to each side of the equation. -4 + 0.5x + -1.25x = 0.5 + 1.25x + -1.25x Combine like terms: 0.5x + -1.25x = -0.75x -4 + -0.75x = 0.5 + 1.25x + -1.25x Combine like terms: 1.25x + -1.25x = 0.00 -4 + -0.75x = 0.5 + 0.00 -4 + -0.75x = 0.5 Add '4' to each side of the equation. -4 + 4 + -0.75x = 0.5 + 4 Combine like terms: -4 + 4 = 0 0 + -0.75x = 0.5 + 4 -0.75x = 0.5 + 4 Combine like terms: 0.5 + 4 = 4.5 -0.75x = 4.5 Divide each side by '-0.75'. x = -6 Simplifying x = -6
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