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Simplifying 6(3x + -4) + 5y = -11x + 13 + 12y Reorder the terms: 6(-4 + 3x) + 5y = -11x + 13 + 12y (-4 * 6 + 3x * 6) + 5y = -11x + 13 + 12y (-24 + 18x) + 5y = -11x + 13 + 12y Reorder the terms: -24 + 18x + 5y = 13 + -11x + 12y Solving -24 + 18x + 5y = 13 + -11x + 12y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -24 + 18x + 11x + 5y = 13 + -11x + 11x + 12y Combine like terms: 18x + 11x = 29x -24 + 29x + 5y = 13 + -11x + 11x + 12y Combine like terms: -11x + 11x = 0 -24 + 29x + 5y = 13 + 0 + 12y -24 + 29x + 5y = 13 + 12y Add '24' to each side of the equation. -24 + 29x + 24 + 5y = 13 + 24 + 12y Reorder the terms: -24 + 24 + 29x + 5y = 13 + 24 + 12y Combine like terms: -24 + 24 = 0 0 + 29x + 5y = 13 + 24 + 12y 29x + 5y = 13 + 24 + 12y Combine like terms: 13 + 24 = 37 29x + 5y = 37 + 12y Add '-5y' to each side of the equation. 29x + 5y + -5y = 37 + 12y + -5y Combine like terms: 5y + -5y = 0 29x + 0 = 37 + 12y + -5y 29x = 37 + 12y + -5y Combine like terms: 12y + -5y = 7y 29x = 37 + 7y Divide each side by '29'. x = 1.275862069 + 0.2413793103y Simplifying x = 1.275862069 + 0.2413793103y
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