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Simplifying 9x + 34 = 10x + 2y + -2 Reorder the terms: 34 + 9x = 10x + 2y + -2 Reorder the terms: 34 + 9x = -2 + 10x + 2y Solving 34 + 9x = -2 + 10x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 34 + 9x + -10x = -2 + 10x + -10x + 2y Combine like terms: 9x + -10x = -1x 34 + -1x = -2 + 10x + -10x + 2y Combine like terms: 10x + -10x = 0 34 + -1x = -2 + 0 + 2y 34 + -1x = -2 + 2y Add '-34' to each side of the equation. 34 + -34 + -1x = -2 + -34 + 2y Combine like terms: 34 + -34 = 0 0 + -1x = -2 + -34 + 2y -1x = -2 + -34 + 2y Combine like terms: -2 + -34 = -36 -1x = -36 + 2y Divide each side by '-1'. x = 36 + -2y Simplifying x = 36 + -2y
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