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Simplifying 4(3x + 2) + 5(2x + 3) = 111 Reorder the terms: 4(2 + 3x) + 5(2x + 3) = 111 (2 * 4 + 3x * 4) + 5(2x + 3) = 111 (8 + 12x) + 5(2x + 3) = 111 Reorder the terms: 8 + 12x + 5(3 + 2x) = 111 8 + 12x + (3 * 5 + 2x * 5) = 111 8 + 12x + (15 + 10x) = 111 Reorder the terms: 8 + 15 + 12x + 10x = 111 Combine like terms: 8 + 15 = 23 23 + 12x + 10x = 111 Combine like terms: 12x + 10x = 22x 23 + 22x = 111 Solving 23 + 22x = 111 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 22x = 111 + -23 Combine like terms: 23 + -23 = 0 0 + 22x = 111 + -23 22x = 111 + -23 Combine like terms: 111 + -23 = 88 22x = 88 Divide each side by '22'. x = 4 Simplifying x = 4
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