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Simplifying 3 + 4y + 5x + -2y = 9 + 3x + x + 2y Reorder the terms: 3 + 5x + 4y + -2y = 9 + 3x + x + 2y Combine like terms: 4y + -2y = 2y 3 + 5x + 2y = 9 + 3x + x + 2y Combine like terms: 3x + x = 4x 3 + 5x + 2y = 9 + 4x + 2y Add '-2y' to each side of the equation. 3 + 5x + 2y + -2y = 9 + 4x + 2y + -2y Combine like terms: 2y + -2y = 0 3 + 5x + 0 = 9 + 4x + 2y + -2y 3 + 5x = 9 + 4x + 2y + -2y Combine like terms: 2y + -2y = 0 3 + 5x = 9 + 4x + 0 3 + 5x = 9 + 4x Solving 3 + 5x = 9 + 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. 3 + 5x + -4x = 9 + 4x + -4x Combine like terms: 5x + -4x = 1x 3 + 1x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + 1x = 9 + 0 3 + 1x = 9 Add '-3' to each side of the equation. 3 + -3 + 1x = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 9 + -3 1x = 9 + -3 Combine like terms: 9 + -3 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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