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Simplifying 10 + -7x = 78 + -21x Solving 10 + -7x = 78 + -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. 10 + -7x + 21x = 78 + -21x + 21x Combine like terms: -7x + 21x = 14x 10 + 14x = 78 + -21x + 21x Combine like terms: -21x + 21x = 0 10 + 14x = 78 + 0 10 + 14x = 78 Add '-10' to each side of the equation. 10 + -10 + 14x = 78 + -10 Combine like terms: 10 + -10 = 0 0 + 14x = 78 + -10 14x = 78 + -10 Combine like terms: 78 + -10 = 68 14x = 68 Divide each side by '14'. x = 4.857142857 Simplifying x = 4.857142857
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