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Simplifying 1.25x + -0.5 = -0.125(x + 5) + -9 Reorder the terms: -0.5 + 1.25x = -0.125(x + 5) + -9 Reorder the terms: -0.5 + 1.25x = -0.125(5 + x) + -9 -0.5 + 1.25x = (5 * -0.125 + x * -0.125) + -9 -0.5 + 1.25x = (-0.625 + -0.125x) + -9 Reorder the terms: -0.5 + 1.25x = -0.625 + -9 + -0.125x Combine like terms: -0.625 + -9 = -9.625 -0.5 + 1.25x = -9.625 + -0.125x Solving -0.5 + 1.25x = -9.625 + -0.125x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.125x' to each side of the equation. -0.5 + 1.25x + 0.125x = -9.625 + -0.125x + 0.125x Combine like terms: 1.25x + 0.125x = 1.375x -0.5 + 1.375x = -9.625 + -0.125x + 0.125x Combine like terms: -0.125x + 0.125x = 0.000 -0.5 + 1.375x = -9.625 + 0.000 -0.5 + 1.375x = -9.625 Add '0.5' to each side of the equation. -0.5 + 0.5 + 1.375x = -9.625 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 1.375x = -9.625 + 0.5 1.375x = -9.625 + 0.5 Combine like terms: -9.625 + 0.5 = -9.125 1.375x = -9.125 Divide each side by '1.375'. x = -6.636363636 Simplifying x = -6.636363636
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