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Simplifying 7 + 14x = -49 + 21x Solving 7 + 14x = -49 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 7 + 14x + -21x = -49 + 21x + -21x Combine like terms: 14x + -21x = -7x 7 + -7x = -49 + 21x + -21x Combine like terms: 21x + -21x = 0 7 + -7x = -49 + 0 7 + -7x = -49 Add '-7' to each side of the equation. 7 + -7 + -7x = -49 + -7 Combine like terms: 7 + -7 = 0 0 + -7x = -49 + -7 -7x = -49 + -7 Combine like terms: -49 + -7 = -56 -7x = -56 Divide each side by '-7'. x = 8 Simplifying x = 8
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