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