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Simplifying x + 1 = 0.125(x + -6) Reorder the terms: 1 + x = 0.125(x + -6) Reorder the terms: 1 + x = 0.125(-6 + x) 1 + x = (-6 * 0.125 + x * 0.125) 1 + x = (-0.75 + 0.125x) Solving 1 + x = -0.75 + 0.125x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.125x' to each side of the equation. 1 + x + -0.125x = -0.75 + 0.125x + -0.125x Combine like terms: x + -0.125x = 0.875x 1 + 0.875x = -0.75 + 0.125x + -0.125x Combine like terms: 0.125x + -0.125x = 0.000 1 + 0.875x = -0.75 + 0.000 1 + 0.875x = -0.75 Add '-1' to each side of the equation. 1 + -1 + 0.875x = -0.75 + -1 Combine like terms: 1 + -1 = 0 0 + 0.875x = -0.75 + -1 0.875x = -0.75 + -1 Combine like terms: -0.75 + -1 = -1.75 0.875x = -1.75 Divide each side by '0.875'. x = -2 Simplifying x = -2
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