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Simplifying 0.08(24) + 0.02x = 0.04(12 + x) Multiply 0.08 * 24 1.92 + 0.02x = 0.04(12 + x) 1.92 + 0.02x = (12 * 0.04 + x * 0.04) 1.92 + 0.02x = (0.48 + 0.04x) Solving 1.92 + 0.02x = 0.48 + 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. 1.92 + 0.02x + -0.04x = 0.48 + 0.04x + -0.04x Combine like terms: 0.02x + -0.04x = -0.02x 1.92 + -0.02x = 0.48 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 1.92 + -0.02x = 0.48 + 0.00 1.92 + -0.02x = 0.48 Add '-1.92' to each side of the equation. 1.92 + -1.92 + -0.02x = 0.48 + -1.92 Combine like terms: 1.92 + -1.92 = 0.00 0.00 + -0.02x = 0.48 + -1.92 -0.02x = 0.48 + -1.92 Combine like terms: 0.48 + -1.92 = -1.44 -0.02x = -1.44 Divide each side by '-0.02'. x = 72 Simplifying x = 72
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