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Simplifying 2(x + -1) + -6x = 10 + -2(x + -1y) Reorder the terms: 2(-1 + x) + -6x = 10 + -2(x + -1y) (-1 * 2 + x * 2) + -6x = 10 + -2(x + -1y) (-2 + 2x) + -6x = 10 + -2(x + -1y) Combine like terms: 2x + -6x = -4x -2 + -4x = 10 + -2(x + -1y) -2 + -4x = 10 + (x * -2 + -1y * -2) -2 + -4x = 10 + (-2x + 2y) Solving -2 + -4x = 10 + -2x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -2 + -4x + 2x = 10 + -2x + 2x + 2y Combine like terms: -4x + 2x = -2x -2 + -2x = 10 + -2x + 2x + 2y Combine like terms: -2x + 2x = 0 -2 + -2x = 10 + 0 + 2y -2 + -2x = 10 + 2y Add '2' to each side of the equation. -2 + 2 + -2x = 10 + 2 + 2y Combine like terms: -2 + 2 = 0 0 + -2x = 10 + 2 + 2y -2x = 10 + 2 + 2y Combine like terms: 10 + 2 = 12 -2x = 12 + 2y Divide each side by '-2'. x = -6 + -1y Simplifying x = -6 + -1y
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