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Simplifying 4x + -2y + 8 = 6x + 3y Reorder the terms: 8 + 4x + -2y = 6x + 3y Solving 8 + 4x + -2y = 6x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + 4x + -6x + -2y = 6x + -6x + 3y Combine like terms: 4x + -6x = -2x 8 + -2x + -2y = 6x + -6x + 3y Combine like terms: 6x + -6x = 0 8 + -2x + -2y = 0 + 3y 8 + -2x + -2y = 3y Add '-8' to each side of the equation. 8 + -2x + -8 + -2y = -8 + 3y Reorder the terms: 8 + -8 + -2x + -2y = -8 + 3y Combine like terms: 8 + -8 = 0 0 + -2x + -2y = -8 + 3y -2x + -2y = -8 + 3y Add '2y' to each side of the equation. -2x + -2y + 2y = -8 + 3y + 2y Combine like terms: -2y + 2y = 0 -2x + 0 = -8 + 3y + 2y -2x = -8 + 3y + 2y Combine like terms: 3y + 2y = 5y -2x = -8 + 5y Divide each side by '-2'. x = 4 + -2.5y Simplifying x = 4 + -2.5y
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