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Simplifying 3x + -2y = 6(x + -2) Reorder the terms: 3x + -2y = 6(-2 + x) 3x + -2y = (-2 * 6 + x * 6) 3x + -2y = (-12 + 6x) Solving 3x + -2y = -12 + 6x 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. 3x + -6x + -2y = -12 + 6x + -6x Combine like terms: 3x + -6x = -3x -3x + -2y = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -3x + -2y = -12 + 0 -3x + -2y = -12 Add '2y' to each side of the equation. -3x + -2y + 2y = -12 + 2y Combine like terms: -2y + 2y = 0 -3x + 0 = -12 + 2y -3x = -12 + 2y Divide each side by '-3'. x = 4 + -0.6666666667y Simplifying x = 4 + -0.6666666667y
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