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Simplifying 7x + (-0.125) = x + -0.75 7x + -0.125 = x + -0.75 Reorder the terms: -0.125 + 7x = x + -0.75 Reorder the terms: -0.125 + 7x = -0.75 + x Solving -0.125 + 7x = -0.75 + 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. -0.125 + 7x + -1x = -0.75 + x + -1x Combine like terms: 7x + -1x = 6x -0.125 + 6x = -0.75 + x + -1x Combine like terms: x + -1x = 0 -0.125 + 6x = -0.75 + 0 -0.125 + 6x = -0.75 Add '0.125' to each side of the equation. -0.125 + 0.125 + 6x = -0.75 + 0.125 Combine like terms: -0.125 + 0.125 = 0.000 0.000 + 6x = -0.75 + 0.125 6x = -0.75 + 0.125 Combine like terms: -0.75 + 0.125 = -0.625 6x = -0.625 Divide each side by '6'. x = -0.1041666667 Simplifying x = -0.1041666667
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