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Simplifying 5 + -7x = 45 + -21x Solving 5 + -7x = 45 + -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. 5 + -7x + 21x = 45 + -21x + 21x Combine like terms: -7x + 21x = 14x 5 + 14x = 45 + -21x + 21x Combine like terms: -21x + 21x = 0 5 + 14x = 45 + 0 5 + 14x = 45 Add '-5' to each side of the equation. 5 + -5 + 14x = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 14x = 45 + -5 14x = 45 + -5 Combine like terms: 45 + -5 = 40 14x = 40 Divide each side by '14'. x = 2.857142857 Simplifying x = 2.857142857
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