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Simplifying 4(x + 2) + 5(x + 3) = 68 Reorder the terms: 4(2 + x) + 5(x + 3) = 68 (2 * 4 + x * 4) + 5(x + 3) = 68 (8 + 4x) + 5(x + 3) = 68 Reorder the terms: 8 + 4x + 5(3 + x) = 68 8 + 4x + (3 * 5 + x * 5) = 68 8 + 4x + (15 + 5x) = 68 Reorder the terms: 8 + 15 + 4x + 5x = 68 Combine like terms: 8 + 15 = 23 23 + 4x + 5x = 68 Combine like terms: 4x + 5x = 9x 23 + 9x = 68 Solving 23 + 9x = 68 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 + 9x = 68 + -23 Combine like terms: 23 + -23 = 0 0 + 9x = 68 + -23 9x = 68 + -23 Combine like terms: 68 + -23 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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