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Simplifying 8x + -3y = 2x + 6 Reorder the terms: 8x + -3y = 6 + 2x Solving 8x + -3y = 6 + 2x 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. 8x + -2x + -3y = 6 + 2x + -2x Combine like terms: 8x + -2x = 6x 6x + -3y = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 6x + -3y = 6 + 0 6x + -3y = 6 Add '3y' to each side of the equation. 6x + -3y + 3y = 6 + 3y Combine like terms: -3y + 3y = 0 6x + 0 = 6 + 3y 6x = 6 + 3y Divide each side by '6'. x = 1 + 0.5y Simplifying x = 1 + 0.5y
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