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Simplifying 5x + 14 = -49 + -4x Reorder the terms: 14 + 5x = -49 + -4x Solving 14 + 5x = -49 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 14 + 5x + 4x = -49 + -4x + 4x Combine like terms: 5x + 4x = 9x 14 + 9x = -49 + -4x + 4x Combine like terms: -4x + 4x = 0 14 + 9x = -49 + 0 14 + 9x = -49 Add '-14' to each side of the equation. 14 + -14 + 9x = -49 + -14 Combine like terms: 14 + -14 = 0 0 + 9x = -49 + -14 9x = -49 + -14 Combine like terms: -49 + -14 = -63 9x = -63 Divide each side by '9'. x = -7 Simplifying x = -7
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