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Simplifying 0.12x + 0.40(10) = 0.10(x + 10) Multiply 0.40 * 10 0.12x + 4 = 0.10(x + 10) Reorder the terms: 4 + 0.12x = 0.10(x + 10) Reorder the terms: 4 + 0.12x = 0.10(10 + x) 4 + 0.12x = (10 * 0.10 + x * 0.10) 4 + 0.12x = (1 + 0.10x) Solving 4 + 0.12x = 1 + 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 = 1 + 0.10x + -0.10x Combine like terms: 0.12x + -0.10x = 0.02x 4 + 0.02x = 1 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 4 + 0.02x = 1 + 0.00 4 + 0.02x = 1 Add '-4' to each side of the equation. 4 + -4 + 0.02x = 1 + -4 Combine like terms: 4 + -4 = 0 0 + 0.02x = 1 + -4 0.02x = 1 + -4 Combine like terms: 1 + -4 = -3 0.02x = -3 Divide each side by '0.02'. x = -150 Simplifying x = -150
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