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Simplifying 3x + 1 = 6y + x + -6 Reorder the terms: 1 + 3x = 6y + x + -6 Reorder the terms: 1 + 3x = -6 + x + 6y Solving 1 + 3x = -6 + x + 6y 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. 1 + 3x + -1x = -6 + x + -1x + 6y Combine like terms: 3x + -1x = 2x 1 + 2x = -6 + x + -1x + 6y Combine like terms: x + -1x = 0 1 + 2x = -6 + 0 + 6y 1 + 2x = -6 + 6y Add '-1' to each side of the equation. 1 + -1 + 2x = -6 + -1 + 6y Combine like terms: 1 + -1 = 0 0 + 2x = -6 + -1 + 6y 2x = -6 + -1 + 6y Combine like terms: -6 + -1 = -7 2x = -7 + 6y Divide each side by '2'. x = -3.5 + 3y Simplifying x = -3.5 + 3y
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