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Simplifying 10x + -2 + -6y = 3x + -2 + x Reorder the terms: -2 + 10x + -6y = 3x + -2 + x Reorder the terms: -2 + 10x + -6y = -2 + 3x + x Combine like terms: 3x + x = 4x -2 + 10x + -6y = -2 + 4x Add '2' to each side of the equation. -2 + 10x + 2 + -6y = -2 + 2 + 4x Reorder the terms: -2 + 2 + 10x + -6y = -2 + 2 + 4x Combine like terms: -2 + 2 = 0 0 + 10x + -6y = -2 + 2 + 4x 10x + -6y = -2 + 2 + 4x Combine like terms: -2 + 2 = 0 10x + -6y = 0 + 4x 10x + -6y = 4x Solving 10x + -6y = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10x + -4x + -6y = 4x + -4x Combine like terms: 10x + -4x = 6x 6x + -6y = 4x + -4x Combine like terms: 4x + -4x = 0 6x + -6y = 0 Add '6y' to each side of the equation. 6x + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 6x + 0 = 0 + 6y 6x = 0 + 6y Remove the zero: 6x = 6y Divide each side by '6'. x = y Simplifying x = y
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