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Simplifying 6x + -13 + 9x + 27 = 3x + 74 Reorder the terms: -13 + 27 + 6x + 9x = 3x + 74 Combine like terms: -13 + 27 = 14 14 + 6x + 9x = 3x + 74 Combine like terms: 6x + 9x = 15x 14 + 15x = 3x + 74 Reorder the terms: 14 + 15x = 74 + 3x Solving 14 + 15x = 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. 14 + 15x + -3x = 74 + 3x + -3x Combine like terms: 15x + -3x = 12x 14 + 12x = 74 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + 12x = 74 + 0 14 + 12x = 74 Add '-14' to each side of the equation. 14 + -14 + 12x = 74 + -14 Combine like terms: 14 + -14 = 0 0 + 12x = 74 + -14 12x = 74 + -14 Combine like terms: 74 + -14 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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