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Simplifying 6x + 2y + 3 = 8x + -1 Reorder the terms: 3 + 6x + 2y = 8x + -1 Reorder the terms: 3 + 6x + 2y = -1 + 8x Solving 3 + 6x + 2y = -1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 3 + 6x + -8x + 2y = -1 + 8x + -8x Combine like terms: 6x + -8x = -2x 3 + -2x + 2y = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -2x + 2y = -1 + 0 3 + -2x + 2y = -1 Add '-3' to each side of the equation. 3 + -2x + -3 + 2y = -1 + -3 Reorder the terms: 3 + -3 + -2x + 2y = -1 + -3 Combine like terms: 3 + -3 = 0 0 + -2x + 2y = -1 + -3 -2x + 2y = -1 + -3 Combine like terms: -1 + -3 = -4 -2x + 2y = -4 Add '-2y' to each side of the equation. -2x + 2y + -2y = -4 + -2y Combine like terms: 2y + -2y = 0 -2x + 0 = -4 + -2y -2x = -4 + -2y Divide each side by '-2'. x = 2 + y Simplifying x = 2 + y
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