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Simplifying 1.35x + 0.40(200 + -1x) = 1.15x 1.35x + (200 * 0.40 + -1x * 0.40) = 1.15x 1.35x + (80 + -0.4x) = 1.15x Reorder the terms: 80 + 1.35x + -0.4x = 1.15x Combine like terms: 1.35x + -0.4x = 0.95x 80 + 0.95x = 1.15x Solving 80 + 0.95x = 1.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.15x' to each side of the equation. 80 + 0.95x + -1.15x = 1.15x + -1.15x Combine like terms: 0.95x + -1.15x = -0.2x 80 + -0.2x = 1.15x + -1.15x Combine like terms: 1.15x + -1.15x = 0.00 80 + -0.2x = 0.00 Add '-80' to each side of the equation. 80 + -80 + -0.2x = 0.00 + -80 Combine like terms: 80 + -80 = 0 0 + -0.2x = 0.00 + -80 -0.2x = 0.00 + -80 Combine like terms: 0.00 + -80 = -80 -0.2x = -80 Divide each side by '-0.2'. x = 400 Simplifying x = 400
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