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Simplifying 18x + 5y + -8 = 8x + -3 Reorder the terms: -8 + 18x + 5y = 8x + -3 Reorder the terms: -8 + 18x + 5y = -3 + 8x Solving -8 + 18x + 5y = -3 + 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. -8 + 18x + -8x + 5y = -3 + 8x + -8x Combine like terms: 18x + -8x = 10x -8 + 10x + 5y = -3 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + 10x + 5y = -3 + 0 -8 + 10x + 5y = -3 Add '8' to each side of the equation. -8 + 10x + 8 + 5y = -3 + 8 Reorder the terms: -8 + 8 + 10x + 5y = -3 + 8 Combine like terms: -8 + 8 = 0 0 + 10x + 5y = -3 + 8 10x + 5y = -3 + 8 Combine like terms: -3 + 8 = 5 10x + 5y = 5 Add '-5y' to each side of the equation. 10x + 5y + -5y = 5 + -5y Combine like terms: 5y + -5y = 0 10x + 0 = 5 + -5y 10x = 5 + -5y Divide each side by '10'. x = 0.5 + -0.5y Simplifying x = 0.5 + -0.5y
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