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Simplifying 13x + -384 + 5x + 5 = 4x + 39 + 3x Reorder the terms: -384 + 5 + 13x + 5x = 4x + 39 + 3x Combine like terms: -384 + 5 = -379 -379 + 13x + 5x = 4x + 39 + 3x Combine like terms: 13x + 5x = 18x -379 + 18x = 4x + 39 + 3x Reorder the terms: -379 + 18x = 39 + 4x + 3x Combine like terms: 4x + 3x = 7x -379 + 18x = 39 + 7x Solving -379 + 18x = 39 + 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. -379 + 18x + -7x = 39 + 7x + -7x Combine like terms: 18x + -7x = 11x -379 + 11x = 39 + 7x + -7x Combine like terms: 7x + -7x = 0 -379 + 11x = 39 + 0 -379 + 11x = 39 Add '379' to each side of the equation. -379 + 379 + 11x = 39 + 379 Combine like terms: -379 + 379 = 0 0 + 11x = 39 + 379 11x = 39 + 379 Combine like terms: 39 + 379 = 418 11x = 418 Divide each side by '11'. x = 38 Simplifying x = 38
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