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Simplifying 160(0.4) + 0.25x = 0.5(x + 160) Multiply 160 * 0.4 64 + 0.25x = 0.5(x + 160) Reorder the terms: 64 + 0.25x = 0.5(160 + x) 64 + 0.25x = (160 * 0.5 + x * 0.5) 64 + 0.25x = (80 + 0.5x) Solving 64 + 0.25x = 80 + 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. 64 + 0.25x + -0.5x = 80 + 0.5x + -0.5x Combine like terms: 0.25x + -0.5x = -0.25x 64 + -0.25x = 80 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 64 + -0.25x = 80 + 0.0 64 + -0.25x = 80 Add '-64' to each side of the equation. 64 + -64 + -0.25x = 80 + -64 Combine like terms: 64 + -64 = 0 0 + -0.25x = 80 + -64 -0.25x = 80 + -64 Combine like terms: 80 + -64 = 16 -0.25x = 16 Divide each side by '-0.25'. x = -64 Simplifying x = -64
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