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Simplifying 7x + 4 = -7x + 38 Reorder the terms: 4 + 7x = -7x + 38 Reorder the terms: 4 + 7x = 38 + -7x Solving 4 + 7x = 38 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 4 + 7x + 7x = 38 + -7x + 7x Combine like terms: 7x + 7x = 14x 4 + 14x = 38 + -7x + 7x Combine like terms: -7x + 7x = 0 4 + 14x = 38 + 0 4 + 14x = 38 Add '-4' to each side of the equation. 4 + -4 + 14x = 38 + -4 Combine like terms: 4 + -4 = 0 0 + 14x = 38 + -4 14x = 38 + -4 Combine like terms: 38 + -4 = 34 14x = 34 Divide each side by '14'. x = 2.428571429 Simplifying x = 2.428571429
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