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Simplifying 6(2x + 2y + -8) = 18 + -3y + 5x Reorder the terms: 6(-8 + 2x + 2y) = 18 + -3y + 5x (-8 * 6 + 2x * 6 + 2y * 6) = 18 + -3y + 5x (-48 + 12x + 12y) = 18 + -3y + 5x Reorder the terms: -48 + 12x + 12y = 18 + 5x + -3y Solving -48 + 12x + 12y = 18 + 5x + -3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -48 + 12x + -5x + 12y = 18 + 5x + -5x + -3y Combine like terms: 12x + -5x = 7x -48 + 7x + 12y = 18 + 5x + -5x + -3y Combine like terms: 5x + -5x = 0 -48 + 7x + 12y = 18 + 0 + -3y -48 + 7x + 12y = 18 + -3y Add '48' to each side of the equation. -48 + 7x + 48 + 12y = 18 + 48 + -3y Reorder the terms: -48 + 48 + 7x + 12y = 18 + 48 + -3y Combine like terms: -48 + 48 = 0 0 + 7x + 12y = 18 + 48 + -3y 7x + 12y = 18 + 48 + -3y Combine like terms: 18 + 48 = 66 7x + 12y = 66 + -3y Add '-12y' to each side of the equation. 7x + 12y + -12y = 66 + -3y + -12y Combine like terms: 12y + -12y = 0 7x + 0 = 66 + -3y + -12y 7x = 66 + -3y + -12y Combine like terms: -3y + -12y = -15y 7x = 66 + -15y Divide each side by '7'. x = 9.428571429 + -2.142857143y Simplifying x = 9.428571429 + -2.142857143y
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