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Simplifying (8x + -12y) + y + 2(3 + 3x) = 0 Remove parenthesis around (8x + -12y) 8x + -12y + y + 2(3 + 3x) = 0 8x + -12y + y + (3 * 2 + 3x * 2) = 0 8x + -12y + y + (6 + 6x) = 0 Reorder the terms: 6 + 8x + 6x + -12y + y = 0 Combine like terms: 8x + 6x = 14x 6 + 14x + -12y + y = 0 Combine like terms: -12y + y = -11y 6 + 14x + -11y = 0 Solving 6 + 14x + -11y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 14x + -6 + -11y = 0 + -6 Reorder the terms: 6 + -6 + 14x + -11y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 14x + -11y = 0 + -6 14x + -11y = 0 + -6 Combine like terms: 0 + -6 = -6 14x + -11y = -6 Add '11y' to each side of the equation. 14x + -11y + 11y = -6 + 11y Combine like terms: -11y + 11y = 0 14x + 0 = -6 + 11y 14x = -6 + 11y Divide each side by '14'. x = -0.4285714286 + 0.7857142857y Simplifying x = -0.4285714286 + 0.7857142857y
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