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Simplifying 0.125(x + -48) = 1 + x Reorder the terms: 0.125(-48 + x) = 1 + x (-48 * 0.125 + x * 0.125) = 1 + x (-6 + 0.125x) = 1 + x Solving -6 + 0.125x = 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. -6 + 0.125x + -1x = 1 + x + -1x Combine like terms: 0.125x + -1x = -0.875x -6 + -0.875x = 1 + x + -1x Combine like terms: x + -1x = 0 -6 + -0.875x = 1 + 0 -6 + -0.875x = 1 Add '6' to each side of the equation. -6 + 6 + -0.875x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + -0.875x = 1 + 6 -0.875x = 1 + 6 Combine like terms: 1 + 6 = 7 -0.875x = 7 Divide each side by '-0.875'. x = -8 Simplifying x = -8
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