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Simplifying -2(x + 6) + 6x = 3(y + -1) + 1 Reorder the terms: -2(6 + x) + 6x = 3(y + -1) + 1 (6 * -2 + x * -2) + 6x = 3(y + -1) + 1 (-12 + -2x) + 6x = 3(y + -1) + 1 Combine like terms: -2x + 6x = 4x -12 + 4x = 3(y + -1) + 1 Reorder the terms: -12 + 4x = 3(-1 + y) + 1 -12 + 4x = (-1 * 3 + y * 3) + 1 -12 + 4x = (-3 + 3y) + 1 Reorder the terms: -12 + 4x = -3 + 1 + 3y Combine like terms: -3 + 1 = -2 -12 + 4x = -2 + 3y Solving -12 + 4x = -2 + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 4x = -2 + 12 + 3y Combine like terms: -12 + 12 = 0 0 + 4x = -2 + 12 + 3y 4x = -2 + 12 + 3y Combine like terms: -2 + 12 = 10 4x = 10 + 3y Divide each side by '4'. x = 2.5 + 0.75y Simplifying x = 2.5 + 0.75y
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