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Simplifying 7x + 3y + 1 = 8x + 2y + 0.5 Reorder the terms: 1 + 7x + 3y = 8x + 2y + 0.5 Reorder the terms: 1 + 7x + 3y = 0.5 + 8x + 2y Solving 1 + 7x + 3y = 0.5 + 8x + 2y 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. 1 + 7x + -8x + 3y = 0.5 + 8x + -8x + 2y Combine like terms: 7x + -8x = -1x 1 + -1x + 3y = 0.5 + 8x + -8x + 2y Combine like terms: 8x + -8x = 0 1 + -1x + 3y = 0.5 + 0 + 2y 1 + -1x + 3y = 0.5 + 2y Add '-1' to each side of the equation. 1 + -1x + -1 + 3y = 0.5 + -1 + 2y Reorder the terms: 1 + -1 + -1x + 3y = 0.5 + -1 + 2y Combine like terms: 1 + -1 = 0 0 + -1x + 3y = 0.5 + -1 + 2y -1x + 3y = 0.5 + -1 + 2y Combine like terms: 0.5 + -1 = -0.5 -1x + 3y = -0.5 + 2y Add '-3y' to each side of the equation. -1x + 3y + -3y = -0.5 + 2y + -3y Combine like terms: 3y + -3y = 0 -1x + 0 = -0.5 + 2y + -3y -1x = -0.5 + 2y + -3y Combine like terms: 2y + -3y = -1y -1x = -0.5 + -1y Divide each side by '-1'. x = 0.5 + y Simplifying x = 0.5 + y
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