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Simplifying 6x + 0.125 = 7x + 0.375 Reorder the terms: 0.125 + 6x = 7x + 0.375 Reorder the terms: 0.125 + 6x = 0.375 + 7x Solving 0.125 + 6x = 0.375 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 0.125 + 6x + -7x = 0.375 + 7x + -7x Combine like terms: 6x + -7x = -1x 0.125 + -1x = 0.375 + 7x + -7x Combine like terms: 7x + -7x = 0 0.125 + -1x = 0.375 + 0 0.125 + -1x = 0.375 Add '-0.125' to each side of the equation. 0.125 + -0.125 + -1x = 0.375 + -0.125 Combine like terms: 0.125 + -0.125 = 0.000 0.000 + -1x = 0.375 + -0.125 -1x = 0.375 + -0.125 Combine like terms: 0.375 + -0.125 = 0.25 -1x = 0.25 Divide each side by '-1'. x = -0.25 Simplifying x = -0.25
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