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Simplifying 4(3x + 7) = 45 + 61 Reorder the terms: 4(7 + 3x) = 45 + 61 (7 * 4 + 3x * 4) = 45 + 61 (28 + 12x) = 45 + 61 Combine like terms: 45 + 61 = 106 28 + 12x = 106 Solving 28 + 12x = 106 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 12x = 106 + -28 Combine like terms: 28 + -28 = 0 0 + 12x = 106 + -28 12x = 106 + -28 Combine like terms: 106 + -28 = 78 12x = 78 Divide each side by '12'. x = 6.5 Simplifying x = 6.5
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