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Simplifying 0.4x + 0.45(12) = 0.44(x + 12) Multiply 0.45 * 12 0.4x + 5.4 = 0.44(x + 12) Reorder the terms: 5.4 + 0.4x = 0.44(x + 12) Reorder the terms: 5.4 + 0.4x = 0.44(12 + x) 5.4 + 0.4x = (12 * 0.44 + x * 0.44) 5.4 + 0.4x = (5.28 + 0.44x) Solving 5.4 + 0.4x = 5.28 + 0.44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.44x' to each side of the equation. 5.4 + 0.4x + -0.44x = 5.28 + 0.44x + -0.44x Combine like terms: 0.4x + -0.44x = -0.04x 5.4 + -0.04x = 5.28 + 0.44x + -0.44x Combine like terms: 0.44x + -0.44x = 0.00 5.4 + -0.04x = 5.28 + 0.00 5.4 + -0.04x = 5.28 Add '-5.4' to each side of the equation. 5.4 + -5.4 + -0.04x = 5.28 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + -0.04x = 5.28 + -5.4 -0.04x = 5.28 + -5.4 Combine like terms: 5.28 + -5.4 = -0.12 -0.04x = -0.12 Divide each side by '-0.04'. x = 3 Simplifying x = 3
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