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Simplifying 5x + 3y + 2 = 14 + -4x Reorder the terms: 2 + 5x + 3y = 14 + -4x Solving 2 + 5x + 3y = 14 + -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 = 14 + -4x + 4x Combine like terms: 5x + 4x = 9x 2 + 9x + 3y = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 9x + 3y = 14 + 0 2 + 9x + 3y = 14 Add '-2' to each side of the equation. 2 + 9x + -2 + 3y = 14 + -2 Reorder the terms: 2 + -2 + 9x + 3y = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 9x + 3y = 14 + -2 9x + 3y = 14 + -2 Combine like terms: 14 + -2 = 12 9x + 3y = 12 Add '-3y' to each side of the equation. 9x + 3y + -3y = 12 + -3y Combine like terms: 3y + -3y = 0 9x + 0 = 12 + -3y 9x = 12 + -3y Divide each side by '9'. x = 1.333333333 + -0.3333333333y Simplifying x = 1.333333333 + -0.3333333333y
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