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Simplifying 0.5x + 0.125x = x + 1 Combine like terms: 0.5x + 0.125x = 0.625x 0.625x = x + 1 Reorder the terms: 0.625x = 1 + x Solving 0.625x = 1 + 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. 0.625x + -1x = 1 + x + -1x Combine like terms: 0.625x + -1x = -0.375x -0.375x = 1 + x + -1x Combine like terms: x + -1x = 0 -0.375x = 1 + 0 -0.375x = 1 Divide each side by '-0.375'. x = -2.666666667 Simplifying x = -2.666666667
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