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Simplifying 3(4x + -3y) + x + 3y = 12x + -18y (4x * 3 + -3y * 3) + x + 3y = 12x + -18y (12x + -9y) + x + 3y = 12x + -18y Reorder the terms: 12x + x + -9y + 3y = 12x + -18y Combine like terms: 12x + x = 13x 13x + -9y + 3y = 12x + -18y Combine like terms: -9y + 3y = -6y 13x + -6y = 12x + -18y Solving 13x + -6y = 12x + -18y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 13x + -12x + -6y = 12x + -12x + -18y Combine like terms: 13x + -12x = 1x 1x + -6y = 12x + -12x + -18y Combine like terms: 12x + -12x = 0 1x + -6y = 0 + -18y 1x + -6y = -18y Add '6y' to each side of the equation. 1x + -6y + 6y = -18y + 6y Combine like terms: -6y + 6y = 0 1x + 0 = -18y + 6y 1x = -18y + 6y Combine like terms: -18y + 6y = -12y 1x = -12y Divide each side by '1'. x = -12y Simplifying x = -12y
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