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Simplifying 6x + 38 = 3x + 74 Reorder the terms: 38 + 6x = 3x + 74 Reorder the terms: 38 + 6x = 74 + 3x Solving 38 + 6x = 74 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 38 + 6x + -3x = 74 + 3x + -3x Combine like terms: 6x + -3x = 3x 38 + 3x = 74 + 3x + -3x Combine like terms: 3x + -3x = 0 38 + 3x = 74 + 0 38 + 3x = 74 Add '-38' to each side of the equation. 38 + -38 + 3x = 74 + -38 Combine like terms: 38 + -38 = 0 0 + 3x = 74 + -38 3x = 74 + -38 Combine like terms: 74 + -38 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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