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Simplifying 7(x + -1y) + 3x + -6y + 36 + -2y + 8y = 9(x + -3y) + 2x + 6y + 48 + -84 + 2x (x * 7 + -1y * 7) + 3x + -6y + 36 + -2y + 8y = 9(x + -3y) + 2x + 6y + 48 + -84 + 2x (7x + -7y) + 3x + -6y + 36 + -2y + 8y = 9(x + -3y) + 2x + 6y + 48 + -84 + 2x Reorder the terms: 36 + 7x + 3x + -7y + -6y + -2y + 8y = 9(x + -3y) + 2x + 6y + 48 + -84 + 2x Combine like terms: 7x + 3x = 10x 36 + 10x + -7y + -6y + -2y + 8y = 9(x + -3y) + 2x + 6y + 48 + -84 + 2x Combine like terms: -7y + -6y = -13y 36 + 10x + -13y + -2y + 8y = 9(x + -3y) + 2x + 6y + 48 + -84 + 2x Combine like terms: -13y + -2y = -15y 36 + 10x + -15y + 8y = 9(x + -3y) + 2x + 6y + 48 + -84 + 2x Combine like terms: -15y + 8y = -7y 36 + 10x + -7y = 9(x + -3y) + 2x + 6y + 48 + -84 + 2x 36 + 10x + -7y = (x * 9 + -3y * 9) + 2x + 6y + 48 + -84 + 2x 36 + 10x + -7y = (9x + -27y) + 2x + 6y + 48 + -84 + 2x Reorder the terms: 36 + 10x + -7y = 48 + -84 + 9x + 2x + 2x + -27y + 6y Combine like terms: 48 + -84 = -36 36 + 10x + -7y = -36 + 9x + 2x + 2x + -27y + 6y Combine like terms: 9x + 2x = 11x 36 + 10x + -7y = -36 + 11x + 2x + -27y + 6y Combine like terms: 11x + 2x = 13x 36 + 10x + -7y = -36 + 13x + -27y + 6y Combine like terms: -27y + 6y = -21y 36 + 10x + -7y = -36 + 13x + -21y Solving 36 + 10x + -7y = -36 + 13x + -21y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 36 + 10x + -13x + -7y = -36 + 13x + -13x + -21y Combine like terms: 10x + -13x = -3x 36 + -3x + -7y = -36 + 13x + -13x + -21y Combine like terms: 13x + -13x = 0 36 + -3x + -7y = -36 + 0 + -21y 36 + -3x + -7y = -36 + -21y Add '-36' to each side of the equation. 36 + -3x + -36 + -7y = -36 + -36 + -21y Reorder the terms: 36 + -36 + -3x + -7y = -36 + -36 + -21y Combine like terms: 36 + -36 = 0 0 + -3x + -7y = -36 + -36 + -21y -3x + -7y = -36 + -36 + -21y Combine like terms: -36 + -36 = -72 -3x + -7y = -72 + -21y Add '7y' to each side of the equation. -3x + -7y + 7y = -72 + -21y + 7y Combine like terms: -7y + 7y = 0 -3x + 0 = -72 + -21y + 7y -3x = -72 + -21y + 7y Combine like terms: -21y + 7y = -14y -3x = -72 + -14y Divide each side by '-3'. x = 24 + 4.666666667y Simplifying x = 24 + 4.666666667y
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