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Simplifying -3x + 2y + -7 + 5y + 1 = 4y + 4 + -3y + -1 Reorder the terms: -7 + 1 + -3x + 2y + 5y = 4y + 4 + -3y + -1 Combine like terms: -7 + 1 = -6 -6 + -3x + 2y + 5y = 4y + 4 + -3y + -1 Combine like terms: 2y + 5y = 7y -6 + -3x + 7y = 4y + 4 + -3y + -1 Reorder the terms: -6 + -3x + 7y = 4 + -1 + 4y + -3y Combine like terms: 4 + -1 = 3 -6 + -3x + 7y = 3 + 4y + -3y Combine like terms: 4y + -3y = 1y -6 + -3x + 7y = 3 + 1y Solving -6 + -3x + 7y = 3 + 1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -3x + 6 + 7y = 3 + 6 + 1y Reorder the terms: -6 + 6 + -3x + 7y = 3 + 6 + 1y Combine like terms: -6 + 6 = 0 0 + -3x + 7y = 3 + 6 + 1y -3x + 7y = 3 + 6 + 1y Combine like terms: 3 + 6 = 9 -3x + 7y = 9 + 1y Add '-7y' to each side of the equation. -3x + 7y + -7y = 9 + 1y + -7y Combine like terms: 7y + -7y = 0 -3x + 0 = 9 + 1y + -7y -3x = 9 + 1y + -7y Combine like terms: 1y + -7y = -6y -3x = 9 + -6y Divide each side by '-3'. x = -3 + 2y Simplifying x = -3 + 2y
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