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Simplifying 1.15x + 0.40(200 + -1x) = 1.25x 1.15x + (200 * 0.40 + -1x * 0.40) = 1.25x 1.15x + (80 + -0.4x) = 1.25x Reorder the terms: 80 + 1.15x + -0.4x = 1.25x Combine like terms: 1.15x + -0.4x = 0.75x 80 + 0.75x = 1.25x Solving 80 + 0.75x = 1.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25x' to each side of the equation. 80 + 0.75x + -1.25x = 1.25x + -1.25x Combine like terms: 0.75x + -1.25x = -0.5x 80 + -0.5x = 1.25x + -1.25x Combine like terms: 1.25x + -1.25x = 0.00 80 + -0.5x = 0.00 Add '-80' to each side of the equation. 80 + -80 + -0.5x = 0.00 + -80 Combine like terms: 80 + -80 = 0 0 + -0.5x = 0.00 + -80 -0.5x = 0.00 + -80 Combine like terms: 0.00 + -80 = -80 -0.5x = -80 Divide each side by '-0.5'. x = 160 Simplifying x = 160
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