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Simplifying 0.36(12) + 0.04x = 0.12(24 + x) Multiply 0.36 * 12 4.32 + 0.04x = 0.12(24 + x) 4.32 + 0.04x = (24 * 0.12 + x * 0.12) 4.32 + 0.04x = (2.88 + 0.12x) Solving 4.32 + 0.04x = 2.88 + 0.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.12x' to each side of the equation. 4.32 + 0.04x + -0.12x = 2.88 + 0.12x + -0.12x Combine like terms: 0.04x + -0.12x = -0.08x 4.32 + -0.08x = 2.88 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 4.32 + -0.08x = 2.88 + 0.00 4.32 + -0.08x = 2.88 Add '-4.32' to each side of the equation. 4.32 + -4.32 + -0.08x = 2.88 + -4.32 Combine like terms: 4.32 + -4.32 = 0.00 0.00 + -0.08x = 2.88 + -4.32 -0.08x = 2.88 + -4.32 Combine like terms: 2.88 + -4.32 = -1.44 -0.08x = -1.44 Divide each side by '-0.08'. x = 18 Simplifying x = 18
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