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Simplifying 3x + 10 + 2y + 30 = 2y + 30 + 2x + y Reorder the terms: 10 + 30 + 3x + 2y = 2y + 30 + 2x + y Combine like terms: 10 + 30 = 40 40 + 3x + 2y = 2y + 30 + 2x + y Reorder the terms: 40 + 3x + 2y = 30 + 2x + 2y + y Combine like terms: 2y + y = 3y 40 + 3x + 2y = 30 + 2x + 3y Solving 40 + 3x + 2y = 30 + 2x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 40 + 3x + -2x + 2y = 30 + 2x + -2x + 3y Combine like terms: 3x + -2x = 1x 40 + 1x + 2y = 30 + 2x + -2x + 3y Combine like terms: 2x + -2x = 0 40 + 1x + 2y = 30 + 0 + 3y 40 + 1x + 2y = 30 + 3y Add '-40' to each side of the equation. 40 + 1x + -40 + 2y = 30 + -40 + 3y Reorder the terms: 40 + -40 + 1x + 2y = 30 + -40 + 3y Combine like terms: 40 + -40 = 0 0 + 1x + 2y = 30 + -40 + 3y 1x + 2y = 30 + -40 + 3y Combine like terms: 30 + -40 = -10 1x + 2y = -10 + 3y Add '-2y' to each side of the equation. 1x + 2y + -2y = -10 + 3y + -2y Combine like terms: 2y + -2y = 0 1x + 0 = -10 + 3y + -2y 1x = -10 + 3y + -2y Combine like terms: 3y + -2y = 1y 1x = -10 + 1y Divide each side by '1'. x = -10 + 1y Simplifying x = -10 + 1y
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