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Simplifying 6x + 2y + -3x + y + 5 = 7 + x + -2 Reorder the terms: 5 + 6x + -3x + 2y + y = 7 + x + -2 Combine like terms: 6x + -3x = 3x 5 + 3x + 2y + y = 7 + x + -2 Combine like terms: 2y + y = 3y 5 + 3x + 3y = 7 + x + -2 Reorder the terms: 5 + 3x + 3y = 7 + -2 + x Combine like terms: 7 + -2 = 5 5 + 3x + 3y = 5 + x Add '-5' to each side of the equation. 5 + 3x + -5 + 3y = 5 + -5 + x Reorder the terms: 5 + -5 + 3x + 3y = 5 + -5 + x Combine like terms: 5 + -5 = 0 0 + 3x + 3y = 5 + -5 + x 3x + 3y = 5 + -5 + x Combine like terms: 5 + -5 = 0 3x + 3y = 0 + x 3x + 3y = x Solving 3x + 3y = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3x + -1x + 3y = x + -1x Combine like terms: 3x + -1x = 2x 2x + 3y = x + -1x Combine like terms: x + -1x = 0 2x + 3y = 0 Add '-3y' to each side of the equation. 2x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 2x + 0 = 0 + -3y 2x = 0 + -3y Remove the zero: 2x = -3y Divide each side by '2'. x = -1.5y Simplifying x = -1.5y
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