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Simplifying 0.1x + -0.006 = 0.08x + 0.135 Reorder the terms: -0.006 + 0.1x = 0.08x + 0.135 Reorder the terms: -0.006 + 0.1x = 0.135 + 0.08x Solving -0.006 + 0.1x = 0.135 + 0.08x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08x' to each side of the equation. -0.006 + 0.1x + -0.08x = 0.135 + 0.08x + -0.08x Combine like terms: 0.1x + -0.08x = 0.02x -0.006 + 0.02x = 0.135 + 0.08x + -0.08x Combine like terms: 0.08x + -0.08x = 0.00 -0.006 + 0.02x = 0.135 + 0.00 -0.006 + 0.02x = 0.135 Add '0.006' to each side of the equation. -0.006 + 0.006 + 0.02x = 0.135 + 0.006 Combine like terms: -0.006 + 0.006 = 0.000 0.000 + 0.02x = 0.135 + 0.006 0.02x = 0.135 + 0.006 Combine like terms: 0.135 + 0.006 = 0.141 0.02x = 0.141 Divide each side by '0.02'. x = 7.05 Simplifying x = 7.05
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