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Simplifying 9x + 6y + 28 = 12x + 8y + -14 Reorder the terms: 28 + 9x + 6y = 12x + 8y + -14 Reorder the terms: 28 + 9x + 6y = -14 + 12x + 8y Solving 28 + 9x + 6y = -14 + 12x + 8y 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. 28 + 9x + -12x + 6y = -14 + 12x + -12x + 8y Combine like terms: 9x + -12x = -3x 28 + -3x + 6y = -14 + 12x + -12x + 8y Combine like terms: 12x + -12x = 0 28 + -3x + 6y = -14 + 0 + 8y 28 + -3x + 6y = -14 + 8y Add '-28' to each side of the equation. 28 + -3x + -28 + 6y = -14 + -28 + 8y Reorder the terms: 28 + -28 + -3x + 6y = -14 + -28 + 8y Combine like terms: 28 + -28 = 0 0 + -3x + 6y = -14 + -28 + 8y -3x + 6y = -14 + -28 + 8y Combine like terms: -14 + -28 = -42 -3x + 6y = -42 + 8y Add '-6y' to each side of the equation. -3x + 6y + -6y = -42 + 8y + -6y Combine like terms: 6y + -6y = 0 -3x + 0 = -42 + 8y + -6y -3x = -42 + 8y + -6y Combine like terms: 8y + -6y = 2y -3x = -42 + 2y Divide each side by '-3'. x = 14 + -0.6666666667y Simplifying x = 14 + -0.6666666667y
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