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Simplifying 3(0.80) + 1(0.20) = 4x(3 + 1) Multiply 3 * 0.80 2.4 + 1(0.20) = 4x(3 + 1) Multiply 1 * 0.20 2.4 + 0.2 = 4x(3 + 1) Combine like terms: 2.4 + 0.2 = 2.6 2.6 = 4x(3 + 1) Combine like terms: 3 + 1 = 4 2.6 = 4x(4) Reorder the terms for easier multiplication: 2.6 = 4 * 4x Multiply 4 * 4 2.6 = 16x Solving 2.6 = 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 2.6 + -16x = 16x + -16x Combine like terms: 16x + -16x = 0 2.6 + -16x = 0 Add '-2.6' to each side of the equation. 2.6 + -2.6 + -16x = 0 + -2.6 Combine like terms: 2.6 + -2.6 = 0.0 0.0 + -16x = 0 + -2.6 -16x = 0 + -2.6 Combine like terms: 0 + -2.6 = -2.6 -16x = -2.6 Divide each side by '-16'. x = 0.1625 Simplifying x = 0.1625
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