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Simplifying 3x + 2y + 1 = 7y + -6 + -1x Reorder the terms: 1 + 3x + 2y = 7y + -6 + -1x Reorder the terms: 1 + 3x + 2y = -6 + -1x + 7y Solving 1 + 3x + 2y = -6 + -1x + 7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 1 + 3x + x + 2y = -6 + -1x + x + 7y Combine like terms: 3x + x = 4x 1 + 4x + 2y = -6 + -1x + x + 7y Combine like terms: -1x + x = 0 1 + 4x + 2y = -6 + 0 + 7y 1 + 4x + 2y = -6 + 7y Add '-1' to each side of the equation. 1 + 4x + -1 + 2y = -6 + -1 + 7y Reorder the terms: 1 + -1 + 4x + 2y = -6 + -1 + 7y Combine like terms: 1 + -1 = 0 0 + 4x + 2y = -6 + -1 + 7y 4x + 2y = -6 + -1 + 7y Combine like terms: -6 + -1 = -7 4x + 2y = -7 + 7y Add '-2y' to each side of the equation. 4x + 2y + -2y = -7 + 7y + -2y Combine like terms: 2y + -2y = 0 4x + 0 = -7 + 7y + -2y 4x = -7 + 7y + -2y Combine like terms: 7y + -2y = 5y 4x = -7 + 5y Divide each side by '4'. x = -1.75 + 1.25y Simplifying x = -1.75 + 1.25y
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