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Simplifying 3x + 2y + -8 = 7x + 2 Reorder the terms: -8 + 3x + 2y = 7x + 2 Reorder the terms: -8 + 3x + 2y = 2 + 7x Solving -8 + 3x + 2y = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -8 + 3x + -7x + 2y = 2 + 7x + -7x Combine like terms: 3x + -7x = -4x -8 + -4x + 2y = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + -4x + 2y = 2 + 0 -8 + -4x + 2y = 2 Add '8' to each side of the equation. -8 + -4x + 8 + 2y = 2 + 8 Reorder the terms: -8 + 8 + -4x + 2y = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -4x + 2y = 2 + 8 -4x + 2y = 2 + 8 Combine like terms: 2 + 8 = 10 -4x + 2y = 10 Add '-2y' to each side of the equation. -4x + 2y + -2y = 10 + -2y Combine like terms: 2y + -2y = 0 -4x + 0 = 10 + -2y -4x = 10 + -2y Divide each side by '-4'. x = -2.5 + 0.5y Simplifying x = -2.5 + 0.5y
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