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Simplifying 4(x + 3) + 5(x + 6) = 42 Reorder the terms: 4(3 + x) + 5(x + 6) = 42 (3 * 4 + x * 4) + 5(x + 6) = 42 (12 + 4x) + 5(x + 6) = 42 Reorder the terms: 12 + 4x + 5(6 + x) = 42 12 + 4x + (6 * 5 + x * 5) = 42 12 + 4x + (30 + 5x) = 42 Reorder the terms: 12 + 30 + 4x + 5x = 42 Combine like terms: 12 + 30 = 42 42 + 4x + 5x = 42 Combine like terms: 4x + 5x = 9x 42 + 9x = 42 Add '-42' to each side of the equation. 42 + -42 + 9x = 42 + -42 Combine like terms: 42 + -42 = 0 0 + 9x = 42 + -42 9x = 42 + -42 Combine like terms: 42 + -42 = 0 9x = 0 Solving 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '9'. x = 0 Simplifying x = 0
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