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Simplifying x + 38 = 6x + 13 Reorder the terms: 38 + x = 6x + 13 Reorder the terms: 38 + x = 13 + 6x Solving 38 + x = 13 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 38 + x + -6x = 13 + 6x + -6x Combine like terms: x + -6x = -5x 38 + -5x = 13 + 6x + -6x Combine like terms: 6x + -6x = 0 38 + -5x = 13 + 0 38 + -5x = 13 Add '-38' to each side of the equation. 38 + -38 + -5x = 13 + -38 Combine like terms: 38 + -38 = 0 0 + -5x = 13 + -38 -5x = 13 + -38 Combine like terms: 13 + -38 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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