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Simplifying 6x + -2(x + -1y) + -10 = 10 6x + (x * -2 + -1y * -2) + -10 = 10 6x + (-2x + 2y) + -10 = 10 Reorder the terms: -10 + 6x + -2x + 2y = 10 Combine like terms: 6x + -2x = 4x -10 + 4x + 2y = 10 Solving -10 + 4x + 2y = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 4x + 10 + 2y = 10 + 10 Reorder the terms: -10 + 10 + 4x + 2y = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 4x + 2y = 10 + 10 4x + 2y = 10 + 10 Combine like terms: 10 + 10 = 20 4x + 2y = 20 Add '-2y' to each side of the equation. 4x + 2y + -2y = 20 + -2y Combine like terms: 2y + -2y = 0 4x + 0 = 20 + -2y 4x = 20 + -2y Divide each side by '4'. x = 5 + -0.5y Simplifying x = 5 + -0.5y
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