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Simplifying 0.12x + 0.4 * 10 = 0.10x + 10 Multiply 0.4 * 10 0.12x + 4 = 0.10x + 10 Reorder the terms: 4 + 0.12x = 0.10x + 10 Reorder the terms: 4 + 0.12x = 10 + 0.10x Solving 4 + 0.12x = 10 + 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 4 + 0.12x + -0.10x = 10 + 0.10x + -0.10x Combine like terms: 0.12x + -0.10x = 0.02x 4 + 0.02x = 10 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 4 + 0.02x = 10 + 0.00 4 + 0.02x = 10 Add '-4' to each side of the equation. 4 + -4 + 0.02x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 0.02x = 10 + -4 0.02x = 10 + -4 Combine like terms: 10 + -4 = 6 0.02x = 6 Divide each side by '0.02'. x = 300 Simplifying x = 300
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