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Simplifying 5x + 3y + -7 = 2x + 8 Reorder the terms: -7 + 5x + 3y = 2x + 8 Reorder the terms: -7 + 5x + 3y = 8 + 2x Solving -7 + 5x + 3y = 8 + 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. -7 + 5x + -2x + 3y = 8 + 2x + -2x Combine like terms: 5x + -2x = 3x -7 + 3x + 3y = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 3x + 3y = 8 + 0 -7 + 3x + 3y = 8 Add '7' to each side of the equation. -7 + 3x + 7 + 3y = 8 + 7 Reorder the terms: -7 + 7 + 3x + 3y = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 3x + 3y = 8 + 7 3x + 3y = 8 + 7 Combine like terms: 8 + 7 = 15 3x + 3y = 15 Add '-3y' to each side of the equation. 3x + 3y + -3y = 15 + -3y Combine like terms: 3y + -3y = 0 3x + 0 = 15 + -3y 3x = 15 + -3y Divide each side by '3'. x = 5 + -1y Simplifying x = 5 + -1y
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