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Simplifying -3x + 10x = 7x + 47 + 7x Combine like terms: -3x + 10x = 7x 7x = 7x + 47 + 7x Reorder the terms: 7x = 47 + 7x + 7x Combine like terms: 7x + 7x = 14x 7x = 47 + 14x Solving 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. 7x + -14x = 47 + 14x + -14x Combine like terms: 7x + -14x = -7x -7x = 47 + 14x + -14x Combine like terms: 14x + -14x = 0 -7x = 47 + 0 -7x = 47 Divide each side by '-7'. x = -6.714285714 Simplifying x = -6.714285714
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