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Simplifying 3x + 6y + -7 = 4x + 7y Reorder the terms: -7 + 3x + 6y = 4x + 7y Solving -7 + 3x + 6y = 4x + 7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + 3x + -4x + 6y = 4x + -4x + 7y Combine like terms: 3x + -4x = -1x -7 + -1x + 6y = 4x + -4x + 7y Combine like terms: 4x + -4x = 0 -7 + -1x + 6y = 0 + 7y -7 + -1x + 6y = 7y Add '7' to each side of the equation. -7 + -1x + 7 + 6y = 7 + 7y Reorder the terms: -7 + 7 + -1x + 6y = 7 + 7y Combine like terms: -7 + 7 = 0 0 + -1x + 6y = 7 + 7y -1x + 6y = 7 + 7y Add '-6y' to each side of the equation. -1x + 6y + -6y = 7 + 7y + -6y Combine like terms: 6y + -6y = 0 -1x + 0 = 7 + 7y + -6y -1x = 7 + 7y + -6y Combine like terms: 7y + -6y = 1y -1x = 7 + 1y Divide each side by '-1'. x = -7 + -1y Simplifying x = -7 + -1y
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