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Simplifying 4x + 8 + -3y = 3y + -6 + 2x Reorder the terms: 8 + 4x + -3y = 3y + -6 + 2x Reorder the terms: 8 + 4x + -3y = -6 + 2x + 3y Solving 8 + 4x + -3y = -6 + 2x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + 4x + -2x + -3y = -6 + 2x + -2x + 3y Combine like terms: 4x + -2x = 2x 8 + 2x + -3y = -6 + 2x + -2x + 3y Combine like terms: 2x + -2x = 0 8 + 2x + -3y = -6 + 0 + 3y 8 + 2x + -3y = -6 + 3y Add '-8' to each side of the equation. 8 + 2x + -8 + -3y = -6 + -8 + 3y Reorder the terms: 8 + -8 + 2x + -3y = -6 + -8 + 3y Combine like terms: 8 + -8 = 0 0 + 2x + -3y = -6 + -8 + 3y 2x + -3y = -6 + -8 + 3y Combine like terms: -6 + -8 = -14 2x + -3y = -14 + 3y Add '3y' to each side of the equation. 2x + -3y + 3y = -14 + 3y + 3y Combine like terms: -3y + 3y = 0 2x + 0 = -14 + 3y + 3y 2x = -14 + 3y + 3y Combine like terms: 3y + 3y = 6y 2x = -14 + 6y Divide each side by '2'. x = -7 + 3y Simplifying x = -7 + 3y
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