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Simplifying 3x + 2y = 6x + -42 Reorder the terms: 3x + 2y = -42 + 6x Solving 3x + 2y = -42 + 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 = -42 + 6x + -6x Combine like terms: 3x + -6x = -3x -3x + 2y = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 -3x + 2y = -42 + 0 -3x + 2y = -42 Add '-2y' to each side of the equation. -3x + 2y + -2y = -42 + -2y Combine like terms: 2y + -2y = 0 -3x + 0 = -42 + -2y -3x = -42 + -2y Divide each side by '-3'. x = 14 + 0.6666666667y Simplifying x = 14 + 0.6666666667y
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