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Simplifying 0.36(12) + 0.04 = 0.12(12 + x) Multiply 0.36 * 12 4.32 + 0.04 = 0.12(12 + x) Combine like terms: 4.32 + 0.04 = 4.36 4.36 = 0.12(12 + x) 4.36 = (12 * 0.12 + x * 0.12) 4.36 = (1.44 + 0.12x) Solving 4.36 = 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. 4.36 + -0.12x = 1.44 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 4.36 + -0.12x = 1.44 + 0.00 4.36 + -0.12x = 1.44 Add '-4.36' to each side of the equation. 4.36 + -4.36 + -0.12x = 1.44 + -4.36 Combine like terms: 4.36 + -4.36 = 0.00 0.00 + -0.12x = 1.44 + -4.36 -0.12x = 1.44 + -4.36 Combine like terms: 1.44 + -4.36 = -2.92 -0.12x = -2.92 Divide each side by '-0.12'. x = 24.33333333 Simplifying x = 24.33333333
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