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Simplifying 7x + 2y + 3 = 5x + 8 Reorder the terms: 3 + 7x + 2y = 5x + 8 Reorder the terms: 3 + 7x + 2y = 8 + 5x Solving 3 + 7x + 2y = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3 + 7x + -5x + 2y = 8 + 5x + -5x Combine like terms: 7x + -5x = 2x 3 + 2x + 2y = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + 2x + 2y = 8 + 0 3 + 2x + 2y = 8 Add '-3' to each side of the equation. 3 + 2x + -3 + 2y = 8 + -3 Reorder the terms: 3 + -3 + 2x + 2y = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 2x + 2y = 8 + -3 2x + 2y = 8 + -3 Combine like terms: 8 + -3 = 5 2x + 2y = 5 Add '-2y' to each side of the equation. 2x + 2y + -2y = 5 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 5 + -2y 2x = 5 + -2y Divide each side by '2'. x = 2.5 + -1y Simplifying x = 2.5 + -1y
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