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Simplifying 0.12(12) + 0.02x = 0.04(24 + x) Multiply 0.12 * 12 1.44 + 0.02x = 0.04(24 + x) 1.44 + 0.02x = (24 * 0.04 + x * 0.04) 1.44 + 0.02x = (0.96 + 0.04x) Solving 1.44 + 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. 1.44 + 0.02x + -0.04x = 0.96 + 0.04x + -0.04x Combine like terms: 0.02x + -0.04x = -0.02x 1.44 + -0.02x = 0.96 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 1.44 + -0.02x = 0.96 + 0.00 1.44 + -0.02x = 0.96 Add '-1.44' to each side of the equation. 1.44 + -1.44 + -0.02x = 0.96 + -1.44 Combine like terms: 1.44 + -1.44 = 0.00 0.00 + -0.02x = 0.96 + -1.44 -0.02x = 0.96 + -1.44 Combine like terms: 0.96 + -1.44 = -0.48 -0.02x = -0.48 Divide each side by '-0.02'. x = 24 Simplifying x = 24
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