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Simplifying 6y + 2x + -3 = 12 + 10x + -12y Reorder the terms: -3 + 2x + 6y = 12 + 10x + -12y Solving -3 + 2x + 6y = 12 + 10x + -12y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -3 + 2x + -10x + 6y = 12 + 10x + -10x + -12y Combine like terms: 2x + -10x = -8x -3 + -8x + 6y = 12 + 10x + -10x + -12y Combine like terms: 10x + -10x = 0 -3 + -8x + 6y = 12 + 0 + -12y -3 + -8x + 6y = 12 + -12y Add '3' to each side of the equation. -3 + -8x + 3 + 6y = 12 + 3 + -12y Reorder the terms: -3 + 3 + -8x + 6y = 12 + 3 + -12y Combine like terms: -3 + 3 = 0 0 + -8x + 6y = 12 + 3 + -12y -8x + 6y = 12 + 3 + -12y Combine like terms: 12 + 3 = 15 -8x + 6y = 15 + -12y Add '-6y' to each side of the equation. -8x + 6y + -6y = 15 + -12y + -6y Combine like terms: 6y + -6y = 0 -8x + 0 = 15 + -12y + -6y -8x = 15 + -12y + -6y Combine like terms: -12y + -6y = -18y -8x = 15 + -18y Divide each side by '-8'. x = -1.875 + 2.25y Simplifying x = -1.875 + 2.25y
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