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Simplifying 0.4(4) + x = 0.5(4 + x) Multiply 0.4 * 4 1.6 + x = 0.5(4 + x) 1.6 + x = (4 * 0.5 + x * 0.5) 1.6 + x = (2 + 0.5x) Solving 1.6 + x = 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. 1.6 + x + -0.5x = 2 + 0.5x + -0.5x Combine like terms: x + -0.5x = 0.5x 1.6 + 0.5x = 2 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 1.6 + 0.5x = 2 + 0.0 1.6 + 0.5x = 2 Add '-1.6' to each side of the equation. 1.6 + -1.6 + 0.5x = 2 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 0.5x = 2 + -1.6 0.5x = 2 + -1.6 Combine like terms: 2 + -1.6 = 0.4 0.5x = 0.4 Divide each side by '0.5'. x = 0.8 Simplifying x = 0.8
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