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Simplifying 4(x + 3) + 5(x + 3) = 99 Reorder the terms: 4(3 + x) + 5(x + 3) = 99 (3 * 4 + x * 4) + 5(x + 3) = 99 (12 + 4x) + 5(x + 3) = 99 Reorder the terms: 12 + 4x + 5(3 + x) = 99 12 + 4x + (3 * 5 + x * 5) = 99 12 + 4x + (15 + 5x) = 99 Reorder the terms: 12 + 15 + 4x + 5x = 99 Combine like terms: 12 + 15 = 27 27 + 4x + 5x = 99 Combine like terms: 4x + 5x = 9x 27 + 9x = 99 Solving 27 + 9x = 99 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 9x = 99 + -27 Combine like terms: 27 + -27 = 0 0 + 9x = 99 + -27 9x = 99 + -27 Combine like terms: 99 + -27 = 72 9x = 72 Divide each side by '9'. x = 8 Simplifying x = 8
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