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Simplifying 4x + 14 + 2y = 9x + -13 + -1(-9y) Reorder the terms: 14 + 4x + 2y = 9x + -13 + -1(-9y) Remove parenthesis around (-9y) 14 + 4x + 2y = 9x + -13 + -1 * -9y Multiply -1 * -9 14 + 4x + 2y = 9x + -13 + 9y Reorder the terms: 14 + 4x + 2y = -13 + 9x + 9y Solving 14 + 4x + 2y = -13 + 9x + 9y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 14 + 4x + -9x + 2y = -13 + 9x + -9x + 9y Combine like terms: 4x + -9x = -5x 14 + -5x + 2y = -13 + 9x + -9x + 9y Combine like terms: 9x + -9x = 0 14 + -5x + 2y = -13 + 0 + 9y 14 + -5x + 2y = -13 + 9y Add '-14' to each side of the equation. 14 + -5x + -14 + 2y = -13 + -14 + 9y Reorder the terms: 14 + -14 + -5x + 2y = -13 + -14 + 9y Combine like terms: 14 + -14 = 0 0 + -5x + 2y = -13 + -14 + 9y -5x + 2y = -13 + -14 + 9y Combine like terms: -13 + -14 = -27 -5x + 2y = -27 + 9y Add '-2y' to each side of the equation. -5x + 2y + -2y = -27 + 9y + -2y Combine like terms: 2y + -2y = 0 -5x + 0 = -27 + 9y + -2y -5x = -27 + 9y + -2y Combine like terms: 9y + -2y = 7y -5x = -27 + 7y Divide each side by '-5'. x = 5.4 + -1.4y Simplifying x = 5.4 + -1.4y
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