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Simplifying 0.24(12) + 0.04x = 0.12(18 + x) Multiply 0.24 * 12 2.88 + 0.04x = 0.12(18 + x) 2.88 + 0.04x = (18 * 0.12 + x * 0.12) 2.88 + 0.04x = (2.16 + 0.12x) Solving 2.88 + 0.04x = 2.16 + 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. 2.88 + 0.04x + -0.12x = 2.16 + 0.12x + -0.12x Combine like terms: 0.04x + -0.12x = -0.08x 2.88 + -0.08x = 2.16 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 2.88 + -0.08x = 2.16 + 0.00 2.88 + -0.08x = 2.16 Add '-2.88' to each side of the equation. 2.88 + -2.88 + -0.08x = 2.16 + -2.88 Combine like terms: 2.88 + -2.88 = 0.00 0.00 + -0.08x = 2.16 + -2.88 -0.08x = 2.16 + -2.88 Combine like terms: 2.16 + -2.88 = -0.72 -0.08x = -0.72 Divide each side by '-0.08'. x = 9 Simplifying x = 9
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