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Simplifying 2x + 3y + x + 5y + 50 + -2x = 180 Reorder the terms: 50 + 2x + x + -2x + 3y + 5y = 180 Combine like terms: 2x + x = 3x 50 + 3x + -2x + 3y + 5y = 180 Combine like terms: 3x + -2x = 1x 50 + 1x + 3y + 5y = 180 Combine like terms: 3y + 5y = 8y 50 + 1x + 8y = 180 Solving 50 + 1x + 8y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + 1x + -50 + 8y = 180 + -50 Reorder the terms: 50 + -50 + 1x + 8y = 180 + -50 Combine like terms: 50 + -50 = 0 0 + 1x + 8y = 180 + -50 1x + 8y = 180 + -50 Combine like terms: 180 + -50 = 130 1x + 8y = 130 Add '-8y' to each side of the equation. 1x + 8y + -8y = 130 + -8y Combine like terms: 8y + -8y = 0 1x + 0 = 130 + -8y 1x = 130 + -8y Divide each side by '1'. x = 130 + -8y Simplifying x = 130 + -8y
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