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Simplifying 4(6x + 5) + 5(x + -3) = 92 Reorder the terms: 4(5 + 6x) + 5(x + -3) = 92 (5 * 4 + 6x * 4) + 5(x + -3) = 92 (20 + 24x) + 5(x + -3) = 92 Reorder the terms: 20 + 24x + 5(-3 + x) = 92 20 + 24x + (-3 * 5 + x * 5) = 92 20 + 24x + (-15 + 5x) = 92 Reorder the terms: 20 + -15 + 24x + 5x = 92 Combine like terms: 20 + -15 = 5 5 + 24x + 5x = 92 Combine like terms: 24x + 5x = 29x 5 + 29x = 92 Solving 5 + 29x = 92 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 29x = 92 + -5 Combine like terms: 5 + -5 = 0 0 + 29x = 92 + -5 29x = 92 + -5 Combine like terms: 92 + -5 = 87 29x = 87 Divide each side by '29'. x = 3 Simplifying x = 3
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