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Simplifying x + 0.55(200) = 0.40(x + 200) Multiply 0.55 * 200 x + 110 = 0.40(x + 200) Reorder the terms: 110 + x = 0.40(x + 200) Reorder the terms: 110 + x = 0.40(200 + x) 110 + x = (200 * 0.40 + x * 0.40) 110 + x = (80 + 0.40x) Solving 110 + x = 80 + 0.40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.40x' to each side of the equation. 110 + x + -0.40x = 80 + 0.40x + -0.40x Combine like terms: x + -0.40x = 0.6x 110 + 0.6x = 80 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 110 + 0.6x = 80 + 0.00 110 + 0.6x = 80 Add '-110' to each side of the equation. 110 + -110 + 0.6x = 80 + -110 Combine like terms: 110 + -110 = 0 0 + 0.6x = 80 + -110 0.6x = 80 + -110 Combine like terms: 80 + -110 = -30 0.6x = -30 Divide each side by '0.6'. x = -50 Simplifying x = -50
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