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Simplifying 7x + 0.125 = 6x + -0.289 Reorder the terms: 0.125 + 7x = 6x + -0.289 Reorder the terms: 0.125 + 7x = -0.289 + 6x Solving 0.125 + 7x = -0.289 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 0.125 + 7x + -6x = -0.289 + 6x + -6x Combine like terms: 7x + -6x = 1x 0.125 + 1x = -0.289 + 6x + -6x Combine like terms: 6x + -6x = 0 0.125 + 1x = -0.289 + 0 0.125 + 1x = -0.289 Add '-0.125' to each side of the equation. 0.125 + -0.125 + 1x = -0.289 + -0.125 Combine like terms: 0.125 + -0.125 = 0.000 0.000 + 1x = -0.289 + -0.125 1x = -0.289 + -0.125 Combine like terms: -0.289 + -0.125 = -0.414 1x = -0.414 Divide each side by '1'. x = -0.414 Simplifying x = -0.414
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