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Simplifying 2x + 6y + 3 = 6x + 8y + 9 Reorder the terms: 3 + 2x + 6y = 6x + 8y + 9 Reorder the terms: 3 + 2x + 6y = 9 + 6x + 8y Solving 3 + 2x + 6y = 9 + 6x + 8y 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. 3 + 2x + -6x + 6y = 9 + 6x + -6x + 8y Combine like terms: 2x + -6x = -4x 3 + -4x + 6y = 9 + 6x + -6x + 8y Combine like terms: 6x + -6x = 0 3 + -4x + 6y = 9 + 0 + 8y 3 + -4x + 6y = 9 + 8y Add '-3' to each side of the equation. 3 + -4x + -3 + 6y = 9 + -3 + 8y Reorder the terms: 3 + -3 + -4x + 6y = 9 + -3 + 8y Combine like terms: 3 + -3 = 0 0 + -4x + 6y = 9 + -3 + 8y -4x + 6y = 9 + -3 + 8y Combine like terms: 9 + -3 = 6 -4x + 6y = 6 + 8y Add '-6y' to each side of the equation. -4x + 6y + -6y = 6 + 8y + -6y Combine like terms: 6y + -6y = 0 -4x + 0 = 6 + 8y + -6y -4x = 6 + 8y + -6y Combine like terms: 8y + -6y = 2y -4x = 6 + 2y Divide each side by '-4'. x = -1.5 + -0.5y Simplifying x = -1.5 + -0.5y
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