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Simplifying 5x + -1y + 8 = x + 12 Reorder the terms: 8 + 5x + -1y = x + 12 Reorder the terms: 8 + 5x + -1y = 12 + x Solving 8 + 5x + -1y = 12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 8 + 5x + -1x + -1y = 12 + x + -1x Combine like terms: 5x + -1x = 4x 8 + 4x + -1y = 12 + x + -1x Combine like terms: x + -1x = 0 8 + 4x + -1y = 12 + 0 8 + 4x + -1y = 12 Add '-8' to each side of the equation. 8 + 4x + -8 + -1y = 12 + -8 Reorder the terms: 8 + -8 + 4x + -1y = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 4x + -1y = 12 + -8 4x + -1y = 12 + -8 Combine like terms: 12 + -8 = 4 4x + -1y = 4 Add 'y' to each side of the equation. 4x + -1y + y = 4 + y Combine like terms: -1y + y = 0 4x + 0 = 4 + y 4x = 4 + y Divide each side by '4'. x = 1 + 0.25y Simplifying x = 1 + 0.25y
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