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Simplifying 0.5x + 0.2(80) = 0.4(x + 80) Multiply 0.2 * 80 0.5x + 16 = 0.4(x + 80) Reorder the terms: 16 + 0.5x = 0.4(x + 80) Reorder the terms: 16 + 0.5x = 0.4(80 + x) 16 + 0.5x = (80 * 0.4 + x * 0.4) 16 + 0.5x = (32 + 0.4x) Solving 16 + 0.5x = 32 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 16 + 0.5x + -0.4x = 32 + 0.4x + -0.4x Combine like terms: 0.5x + -0.4x = 0.1x 16 + 0.1x = 32 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 16 + 0.1x = 32 + 0.0 16 + 0.1x = 32 Add '-16' to each side of the equation. 16 + -16 + 0.1x = 32 + -16 Combine like terms: 16 + -16 = 0 0 + 0.1x = 32 + -16 0.1x = 32 + -16 Combine like terms: 32 + -16 = 16 0.1x = 16 Divide each side by '0.1'. x = 160 Simplifying x = 160
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