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Simplifying 5(2x + 4) = 3(x + 9) Reorder the terms: 5(4 + 2x) = 3(x + 9) (4 * 5 + 2x * 5) = 3(x + 9) (20 + 10x) = 3(x + 9) Reorder the terms: 20 + 10x = 3(9 + x) 20 + 10x = (9 * 3 + x * 3) 20 + 10x = (27 + 3x) Solving 20 + 10x = 27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 20 + 10x + -3x = 27 + 3x + -3x Combine like terms: 10x + -3x = 7x 20 + 7x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + 7x = 27 + 0 20 + 7x = 27 Add '-20' to each side of the equation. 20 + -20 + 7x = 27 + -20 Combine like terms: 20 + -20 = 0 0 + 7x = 27 + -20 7x = 27 + -20 Combine like terms: 27 + -20 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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