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Simplifying 0.65x + 90 = 0.55(x + 200) Reorder the terms: 90 + 0.65x = 0.55(x + 200) Reorder the terms: 90 + 0.65x = 0.55(200 + x) 90 + 0.65x = (200 * 0.55 + x * 0.55) 90 + 0.65x = (110 + 0.55x) Solving 90 + 0.65x = 110 + 0.55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.55x' to each side of the equation. 90 + 0.65x + -0.55x = 110 + 0.55x + -0.55x Combine like terms: 0.65x + -0.55x = 0.1x 90 + 0.1x = 110 + 0.55x + -0.55x Combine like terms: 0.55x + -0.55x = 0.00 90 + 0.1x = 110 + 0.00 90 + 0.1x = 110 Add '-90' to each side of the equation. 90 + -90 + 0.1x = 110 + -90 Combine like terms: 90 + -90 = 0 0 + 0.1x = 110 + -90 0.1x = 110 + -90 Combine like terms: 110 + -90 = 20 0.1x = 20 Divide each side by '0.1'. x = 200 Simplifying x = 200
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