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