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Simplifying 7 + 9x = -83 + 14x Solving 7 + 9x = -83 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 7 + 9x + -14x = -83 + 14x + -14x Combine like terms: 9x + -14x = -5x 7 + -5x = -83 + 14x + -14x Combine like terms: 14x + -14x = 0 7 + -5x = -83 + 0 7 + -5x = -83 Add '-7' to each side of the equation. 7 + -7 + -5x = -83 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = -83 + -7 -5x = -83 + -7 Combine like terms: -83 + -7 = -90 -5x = -90 Divide each side by '-5'. x = 18 Simplifying x = 18
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