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Simplifying 0.1x + 0.008 = 0.06x + -0.172 Reorder the terms: 0.008 + 0.1x = 0.06x + -0.172 Reorder the terms: 0.008 + 0.1x = -0.172 + 0.06x Solving 0.008 + 0.1x = -0.172 + 0.06x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.06x' to each side of the equation. 0.008 + 0.1x + -0.06x = -0.172 + 0.06x + -0.06x Combine like terms: 0.1x + -0.06x = 0.04x 0.008 + 0.04x = -0.172 + 0.06x + -0.06x Combine like terms: 0.06x + -0.06x = 0.00 0.008 + 0.04x = -0.172 + 0.00 0.008 + 0.04x = -0.172 Add '-0.008' to each side of the equation. 0.008 + -0.008 + 0.04x = -0.172 + -0.008 Combine like terms: 0.008 + -0.008 = 0.000 0.000 + 0.04x = -0.172 + -0.008 0.04x = -0.172 + -0.008 Combine like terms: -0.172 + -0.008 = -0.18 0.04x = -0.18 Divide each side by '0.04'. x = -4.5 Simplifying x = -4.5
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