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Simplifying 3 + x = -4x + 38 Reorder the terms: 3 + x = 38 + -4x Solving 3 + x = 38 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 3 + x + 4x = 38 + -4x + 4x Combine like terms: x + 4x = 5x 3 + 5x = 38 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + 5x = 38 + 0 3 + 5x = 38 Add '-3' to each side of the equation. 3 + -3 + 5x = 38 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 38 + -3 5x = 38 + -3 Combine like terms: 38 + -3 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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