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Simplifying 3x + 5(4x + 6) = 7 Reorder the terms: 3x + 5(6 + 4x) = 7 3x + (6 * 5 + 4x * 5) = 7 3x + (30 + 20x) = 7 Reorder the terms: 30 + 3x + 20x = 7 Combine like terms: 3x + 20x = 23x 30 + 23x = 7 Solving 30 + 23x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 23x = 7 + -30 Combine like terms: 30 + -30 = 0 0 + 23x = 7 + -30 23x = 7 + -30 Combine like terms: 7 + -30 = -23 23x = -23 Divide each side by '23'. x = -1 Simplifying x = -1
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