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Simplifying 10 + -7x = 47 + -14x Solving 10 + -7x = 47 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 10 + -7x + 14x = 47 + -14x + 14x Combine like terms: -7x + 14x = 7x 10 + 7x = 47 + -14x + 14x Combine like terms: -14x + 14x = 0 10 + 7x = 47 + 0 10 + 7x = 47 Add '-10' to each side of the equation. 10 + -10 + 7x = 47 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 47 + -10 7x = 47 + -10 Combine like terms: 47 + -10 = 37 7x = 37 Divide each side by '7'. x = 5.285714286 Simplifying x = 5.285714286
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