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Simplifying 10 + -7x = 78 + -35x Solving 10 + -7x = 78 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 10 + -7x + 35x = 78 + -35x + 35x Combine like terms: -7x + 35x = 28x 10 + 28x = 78 + -35x + 35x Combine like terms: -35x + 35x = 0 10 + 28x = 78 + 0 10 + 28x = 78 Add '-10' to each side of the equation. 10 + -10 + 28x = 78 + -10 Combine like terms: 10 + -10 = 0 0 + 28x = 78 + -10 28x = 78 + -10 Combine like terms: 78 + -10 = 68 28x = 68 Divide each side by '28'. x = 2.428571429 Simplifying x = 2.428571429
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