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Simplifying 0.04(12) + 0.01x = 0.02(12 + x) Multiply 0.04 * 12 0.48 + 0.01x = 0.02(12 + x) 0.48 + 0.01x = (12 * 0.02 + x * 0.02) 0.48 + 0.01x = (0.24 + 0.02x) Solving 0.48 + 0.01x = 0.24 + 0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02x' to each side of the equation. 0.48 + 0.01x + -0.02x = 0.24 + 0.02x + -0.02x Combine like terms: 0.01x + -0.02x = -0.01x 0.48 + -0.01x = 0.24 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 0.48 + -0.01x = 0.24 + 0.00 0.48 + -0.01x = 0.24 Add '-0.48' to each side of the equation. 0.48 + -0.48 + -0.01x = 0.24 + -0.48 Combine like terms: 0.48 + -0.48 = 0.00 0.00 + -0.01x = 0.24 + -0.48 -0.01x = 0.24 + -0.48 Combine like terms: 0.24 + -0.48 = -0.24 -0.01x = -0.24 Divide each side by '-0.01'. x = 24 Simplifying x = 24
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