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Simplifying 2x + 6y + -10 = 10x + 4y + 2 Reorder the terms: -10 + 2x + 6y = 10x + 4y + 2 Reorder the terms: -10 + 2x + 6y = 2 + 10x + 4y Solving -10 + 2x + 6y = 2 + 10x + 4y 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. -10 + 2x + -10x + 6y = 2 + 10x + -10x + 4y Combine like terms: 2x + -10x = -8x -10 + -8x + 6y = 2 + 10x + -10x + 4y Combine like terms: 10x + -10x = 0 -10 + -8x + 6y = 2 + 0 + 4y -10 + -8x + 6y = 2 + 4y Add '10' to each side of the equation. -10 + -8x + 10 + 6y = 2 + 10 + 4y Reorder the terms: -10 + 10 + -8x + 6y = 2 + 10 + 4y Combine like terms: -10 + 10 = 0 0 + -8x + 6y = 2 + 10 + 4y -8x + 6y = 2 + 10 + 4y Combine like terms: 2 + 10 = 12 -8x + 6y = 12 + 4y Add '-6y' to each side of the equation. -8x + 6y + -6y = 12 + 4y + -6y Combine like terms: 6y + -6y = 0 -8x + 0 = 12 + 4y + -6y -8x = 12 + 4y + -6y Combine like terms: 4y + -6y = -2y -8x = 12 + -2y Divide each side by '-8'. x = -1.5 + 0.25y Simplifying x = -1.5 + 0.25y
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