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Simplifying 5x + 3y + -2 = 4x + 11 Reorder the terms: -2 + 5x + 3y = 4x + 11 Reorder the terms: -2 + 5x + 3y = 11 + 4x Solving -2 + 5x + 3y = 11 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 5x + -4x + 3y = 11 + 4x + -4x Combine like terms: 5x + -4x = 1x -2 + 1x + 3y = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 1x + 3y = 11 + 0 -2 + 1x + 3y = 11 Add '2' to each side of the equation. -2 + 1x + 2 + 3y = 11 + 2 Reorder the terms: -2 + 2 + 1x + 3y = 11 + 2 Combine like terms: -2 + 2 = 0 0 + 1x + 3y = 11 + 2 1x + 3y = 11 + 2 Combine like terms: 11 + 2 = 13 1x + 3y = 13 Add '-3y' to each side of the equation. 1x + 3y + -3y = 13 + -3y Combine like terms: 3y + -3y = 0 1x + 0 = 13 + -3y 1x = 13 + -3y Divide each side by '1'. x = 13 + -3y Simplifying x = 13 + -3y
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