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Simplifying -12 + 3(x + -1y) = 6(x + 1) + -7y -12 + (x * 3 + -1y * 3) = 6(x + 1) + -7y -12 + (3x + -3y) = 6(x + 1) + -7y Reorder the terms: -12 + 3x + -3y = 6(1 + x) + -7y -12 + 3x + -3y = (1 * 6 + x * 6) + -7y -12 + 3x + -3y = (6 + 6x) + -7y Solving -12 + 3x + -3y = 6 + 6x + -7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 3x + -6x + -3y = 6 + 6x + -6x + -7y Combine like terms: 3x + -6x = -3x -12 + -3x + -3y = 6 + 6x + -6x + -7y Combine like terms: 6x + -6x = 0 -12 + -3x + -3y = 6 + 0 + -7y -12 + -3x + -3y = 6 + -7y Add '12' to each side of the equation. -12 + -3x + 12 + -3y = 6 + 12 + -7y Reorder the terms: -12 + 12 + -3x + -3y = 6 + 12 + -7y Combine like terms: -12 + 12 = 0 0 + -3x + -3y = 6 + 12 + -7y -3x + -3y = 6 + 12 + -7y Combine like terms: 6 + 12 = 18 -3x + -3y = 18 + -7y Add '3y' to each side of the equation. -3x + -3y + 3y = 18 + -7y + 3y Combine like terms: -3y + 3y = 0 -3x + 0 = 18 + -7y + 3y -3x = 18 + -7y + 3y Combine like terms: -7y + 3y = -4y -3x = 18 + -4y Divide each side by '-3'. x = -6 + 1.333333333y Simplifying x = -6 + 1.333333333y
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