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Simplifying x * 0.08 = (x + -1) * 0.1 Reorder the terms for easier multiplication: 0.08x = (x + -1) * 0.1 Reorder the terms: 0.08x = (-1 + x) * 0.1 Reorder the terms for easier multiplication: 0.08x = 0.1(-1 + x) 0.08x = (-1 * 0.1 + x * 0.1) 0.08x = (-0.1 + 0.1x) Solving 0.08x = -0.1 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 0.08x + -0.1x = -0.1 + 0.1x + -0.1x Combine like terms: 0.08x + -0.1x = -0.02x -0.02x = -0.1 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -0.02x = -0.1 + 0.0 -0.02x = -0.1 Divide each side by '-0.02'. x = 5 Simplifying x = 5
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