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Simplifying 10y + 5x + -3 = 12 + -5x Reorder the terms: -3 + 5x + 10y = 12 + -5x Solving -3 + 5x + 10y = 12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -3 + 5x + 5x + 10y = 12 + -5x + 5x Combine like terms: 5x + 5x = 10x -3 + 10x + 10y = 12 + -5x + 5x Combine like terms: -5x + 5x = 0 -3 + 10x + 10y = 12 + 0 -3 + 10x + 10y = 12 Add '3' to each side of the equation. -3 + 10x + 3 + 10y = 12 + 3 Reorder the terms: -3 + 3 + 10x + 10y = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 10x + 10y = 12 + 3 10x + 10y = 12 + 3 Combine like terms: 12 + 3 = 15 10x + 10y = 15 Add '-10y' to each side of the equation. 10x + 10y + -10y = 15 + -10y Combine like terms: 10y + -10y = 0 10x + 0 = 15 + -10y 10x = 15 + -10y Divide each side by '10'. x = 1.5 + -1y Simplifying x = 1.5 + -1y
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