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Simplifying 0.12(24) + 0.02x = 0.04(12 + x) Multiply 0.12 * 24 2.88 + 0.02x = 0.04(12 + x) 2.88 + 0.02x = (12 * 0.04 + x * 0.04) 2.88 + 0.02x = (0.48 + 0.04x) Solving 2.88 + 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. 2.88 + 0.02x + -0.04x = 0.48 + 0.04x + -0.04x Combine like terms: 0.02x + -0.04x = -0.02x 2.88 + -0.02x = 0.48 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 2.88 + -0.02x = 0.48 + 0.00 2.88 + -0.02x = 0.48 Add '-2.88' to each side of the equation. 2.88 + -2.88 + -0.02x = 0.48 + -2.88 Combine like terms: 2.88 + -2.88 = 0.00 0.00 + -0.02x = 0.48 + -2.88 -0.02x = 0.48 + -2.88 Combine like terms: 0.48 + -2.88 = -2.4 -0.02x = -2.4 Divide each side by '-0.02'. x = 120 Simplifying x = 120
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