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Simplifying 0.36(12) + 0.04x = 0.12(12 + x) Multiply 0.36 * 12 4.32 + 0.04x = 0.12(12 + x) 4.32 + 0.04x = (12 * 0.12 + x * 0.12) 4.32 + 0.04x = (1.44 + 0.12x) Solving 4.32 + 0.04x = 1.44 + 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 = 1.44 + 0.12x + -0.12x Combine like terms: 0.04x + -0.12x = -0.08x 4.32 + -0.08x = 1.44 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 4.32 + -0.08x = 1.44 + 0.00 4.32 + -0.08x = 1.44 Add '-4.32' to each side of the equation. 4.32 + -4.32 + -0.08x = 1.44 + -4.32 Combine like terms: 4.32 + -4.32 = 0.00 0.00 + -0.08x = 1.44 + -4.32 -0.08x = 1.44 + -4.32 Combine like terms: 1.44 + -4.32 = -2.88 -0.08x = -2.88 Divide each side by '-0.08'. x = 36 Simplifying x = 36
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