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Simplifying 4x + 4(45 + y) = 2780 4x + (45 * 4 + y * 4) = 2780 4x + (180 + 4y) = 2780 Reorder the terms: 180 + 4x + 4y = 2780 Solving 180 + 4x + 4y = 2780 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-180' to each side of the equation. 180 + 4x + -180 + 4y = 2780 + -180 Reorder the terms: 180 + -180 + 4x + 4y = 2780 + -180 Combine like terms: 180 + -180 = 0 0 + 4x + 4y = 2780 + -180 4x + 4y = 2780 + -180 Combine like terms: 2780 + -180 = 2600 4x + 4y = 2600 Add '-4y' to each side of the equation. 4x + 4y + -4y = 2600 + -4y Combine like terms: 4y + -4y = 0 4x + 0 = 2600 + -4y 4x = 2600 + -4y Divide each side by '4'. x = 650 + -1y Simplifying x = 650 + -1y
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