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Simplifying 2x + 6 = 3x + 6y + -3 Reorder the terms: 6 + 2x = 3x + 6y + -3 Reorder the terms: 6 + 2x = -3 + 3x + 6y Solving 6 + 2x = -3 + 3x + 6y 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. 6 + 2x + -3x = -3 + 3x + -3x + 6y Combine like terms: 2x + -3x = -1x 6 + -1x = -3 + 3x + -3x + 6y Combine like terms: 3x + -3x = 0 6 + -1x = -3 + 0 + 6y 6 + -1x = -3 + 6y Add '-6' to each side of the equation. 6 + -6 + -1x = -3 + -6 + 6y Combine like terms: 6 + -6 = 0 0 + -1x = -3 + -6 + 6y -1x = -3 + -6 + 6y Combine like terms: -3 + -6 = -9 -1x = -9 + 6y Divide each side by '-1'. x = 9 + -6y Simplifying x = 9 + -6y
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