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Simplifying 0.10x + 12 = 0.12x + 10 Reorder the terms: 12 + 0.10x = 0.12x + 10 Reorder the terms: 12 + 0.10x = 10 + 0.12x Solving 12 + 0.10x = 10 + 0.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.12x' to each side of the equation. 12 + 0.10x + -0.12x = 10 + 0.12x + -0.12x Combine like terms: 0.10x + -0.12x = -0.02x 12 + -0.02x = 10 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 12 + -0.02x = 10 + 0.00 12 + -0.02x = 10 Add '-12' to each side of the equation. 12 + -12 + -0.02x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -0.02x = 10 + -12 -0.02x = 10 + -12 Combine like terms: 10 + -12 = -2 -0.02x = -2 Divide each side by '-0.02'. x = 100 Simplifying x = 100
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