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Simplifying 5(x + 3) = 4(x + 9) Reorder the terms: 5(3 + x) = 4(x + 9) (3 * 5 + x * 5) = 4(x + 9) (15 + 5x) = 4(x + 9) Reorder the terms: 15 + 5x = 4(9 + x) 15 + 5x = (9 * 4 + x * 4) 15 + 5x = (36 + 4x) Solving 15 + 5x = 36 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 15 + 5x + -4x = 36 + 4x + -4x Combine like terms: 5x + -4x = 1x 15 + 1x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + 1x = 36 + 0 15 + 1x = 36 Add '-15' to each side of the equation. 15 + -15 + 1x = 36 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 36 + -15 1x = 36 + -15 Combine like terms: 36 + -15 = 21 1x = 21 Divide each side by '1'. x = 21 Simplifying x = 21
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