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Simplifying -8x + 7y + 2 + 3y + 6x = -7 + -2 + 4(3x + 9y) Reorder the terms: 2 + -8x + 6x + 7y + 3y = -7 + -2 + 4(3x + 9y) Combine like terms: -8x + 6x = -2x 2 + -2x + 7y + 3y = -7 + -2 + 4(3x + 9y) Combine like terms: 7y + 3y = 10y 2 + -2x + 10y = -7 + -2 + 4(3x + 9y) 2 + -2x + 10y = -7 + -2 + (3x * 4 + 9y * 4) 2 + -2x + 10y = -7 + -2 + (12x + 36y) Combine like terms: -7 + -2 = -9 2 + -2x + 10y = -9 + 12x + 36y Solving 2 + -2x + 10y = -9 + 12x + 36y 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. 2 + -2x + -12x + 10y = -9 + 12x + -12x + 36y Combine like terms: -2x + -12x = -14x 2 + -14x + 10y = -9 + 12x + -12x + 36y Combine like terms: 12x + -12x = 0 2 + -14x + 10y = -9 + 0 + 36y 2 + -14x + 10y = -9 + 36y Add '-2' to each side of the equation. 2 + -14x + -2 + 10y = -9 + -2 + 36y Reorder the terms: 2 + -2 + -14x + 10y = -9 + -2 + 36y Combine like terms: 2 + -2 = 0 0 + -14x + 10y = -9 + -2 + 36y -14x + 10y = -9 + -2 + 36y Combine like terms: -9 + -2 = -11 -14x + 10y = -11 + 36y Add '-10y' to each side of the equation. -14x + 10y + -10y = -11 + 36y + -10y Combine like terms: 10y + -10y = 0 -14x + 0 = -11 + 36y + -10y -14x = -11 + 36y + -10y Combine like terms: 36y + -10y = 26y -14x = -11 + 26y Divide each side by '-14'. x = 0.7857142857 + -1.857142857y Simplifying x = 0.7857142857 + -1.857142857y
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