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Simplifying 3y + 10x + 2 = 9x + 8 Reorder the terms: 2 + 10x + 3y = 9x + 8 Reorder the terms: 2 + 10x + 3y = 8 + 9x Solving 2 + 10x + 3y = 8 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 2 + 10x + -9x + 3y = 8 + 9x + -9x Combine like terms: 10x + -9x = 1x 2 + 1x + 3y = 8 + 9x + -9x Combine like terms: 9x + -9x = 0 2 + 1x + 3y = 8 + 0 2 + 1x + 3y = 8 Add '-2' to each side of the equation. 2 + 1x + -2 + 3y = 8 + -2 Reorder the terms: 2 + -2 + 1x + 3y = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 1x + 3y = 8 + -2 1x + 3y = 8 + -2 Combine like terms: 8 + -2 = 6 1x + 3y = 6 Add '-3y' to each side of the equation. 1x + 3y + -3y = 6 + -3y Combine like terms: 3y + -3y = 0 1x + 0 = 6 + -3y 1x = 6 + -3y Divide each side by '1'. x = 6 + -3y Simplifying x = 6 + -3y
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