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Simplifying 2x + 3y + 5 = 7 + 8x + -2 Reorder the terms: 5 + 2x + 3y = 7 + 8x + -2 Reorder the terms: 5 + 2x + 3y = 7 + -2 + 8x Combine like terms: 7 + -2 = 5 5 + 2x + 3y = 5 + 8x Add '-5' to each side of the equation. 5 + 2x + -5 + 3y = 5 + -5 + 8x Reorder the terms: 5 + -5 + 2x + 3y = 5 + -5 + 8x Combine like terms: 5 + -5 = 0 0 + 2x + 3y = 5 + -5 + 8x 2x + 3y = 5 + -5 + 8x Combine like terms: 5 + -5 = 0 2x + 3y = 0 + 8x 2x + 3y = 8x Solving 2x + 3y = 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. 2x + -8x + 3y = 8x + -8x Combine like terms: 2x + -8x = -6x -6x + 3y = 8x + -8x Combine like terms: 8x + -8x = 0 -6x + 3y = 0 Add '-3y' to each side of the equation. -6x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 -6x + 0 = 0 + -3y -6x = 0 + -3y Remove the zero: -6x = -3y Divide each side by '-6'. x = 0.5y Simplifying x = 0.5y
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