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Simplifying 0.12(18) + 0.02x = 0.04(24 + x) Multiply 0.12 * 18 2.16 + 0.02x = 0.04(24 + x) 2.16 + 0.02x = (24 * 0.04 + x * 0.04) 2.16 + 0.02x = (0.96 + 0.04x) Solving 2.16 + 0.02x = 0.96 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. 2.16 + 0.02x + -0.04x = 0.96 + 0.04x + -0.04x Combine like terms: 0.02x + -0.04x = -0.02x 2.16 + -0.02x = 0.96 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 2.16 + -0.02x = 0.96 + 0.00 2.16 + -0.02x = 0.96 Add '-2.16' to each side of the equation. 2.16 + -2.16 + -0.02x = 0.96 + -2.16 Combine like terms: 2.16 + -2.16 = 0.00 0.00 + -0.02x = 0.96 + -2.16 -0.02x = 0.96 + -2.16 Combine like terms: 0.96 + -2.16 = -1.2 -0.02x = -1.2 Divide each side by '-0.02'. x = 60 Simplifying x = 60
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