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Simplifying 0.4x + 0.8(4) = 0.5(x + 4) Multiply 0.8 * 4 0.4x + 3.2 = 0.5(x + 4) Reorder the terms: 3.2 + 0.4x = 0.5(x + 4) Reorder the terms: 3.2 + 0.4x = 0.5(4 + x) 3.2 + 0.4x = (4 * 0.5 + x * 0.5) 3.2 + 0.4x = (2 + 0.5x) Solving 3.2 + 0.4x = 2 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 3.2 + 0.4x + -0.5x = 2 + 0.5x + -0.5x Combine like terms: 0.4x + -0.5x = -0.1x 3.2 + -0.1x = 2 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 3.2 + -0.1x = 2 + 0.0 3.2 + -0.1x = 2 Add '-3.2' to each side of the equation. 3.2 + -3.2 + -0.1x = 2 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + -0.1x = 2 + -3.2 -0.1x = 2 + -3.2 Combine like terms: 2 + -3.2 = -1.2 -0.1x = -1.2 Divide each side by '-0.1'. x = 12 Simplifying x = 12
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