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Simplifying 2x + 3y + -10 = 12x + -1y Reorder the terms: -10 + 2x + 3y = 12x + -1y Solving -10 + 2x + 3y = 12x + -1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -10 + 2x + -12x + 3y = 12x + -12x + -1y Combine like terms: 2x + -12x = -10x -10 + -10x + 3y = 12x + -12x + -1y Combine like terms: 12x + -12x = 0 -10 + -10x + 3y = 0 + -1y -10 + -10x + 3y = -1y Add '10' to each side of the equation. -10 + -10x + 10 + 3y = 10 + -1y Reorder the terms: -10 + 10 + -10x + 3y = 10 + -1y Combine like terms: -10 + 10 = 0 0 + -10x + 3y = 10 + -1y -10x + 3y = 10 + -1y Add '-3y' to each side of the equation. -10x + 3y + -3y = 10 + -1y + -3y Combine like terms: 3y + -3y = 0 -10x + 0 = 10 + -1y + -3y -10x = 10 + -1y + -3y Combine like terms: -1y + -3y = -4y -10x = 10 + -4y Divide each side by '-10'. x = -1 + 0.4y Simplifying x = -1 + 0.4y
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