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Simplifying 4(2x + 3) = 5(x + 9) Reorder the terms: 4(3 + 2x) = 5(x + 9) (3 * 4 + 2x * 4) = 5(x + 9) (12 + 8x) = 5(x + 9) Reorder the terms: 12 + 8x = 5(9 + x) 12 + 8x = (9 * 5 + x * 5) 12 + 8x = (45 + 5x) Solving 12 + 8x = 45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 8x + -5x = 45 + 5x + -5x Combine like terms: 8x + -5x = 3x 12 + 3x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 3x = 45 + 0 12 + 3x = 45 Add '-12' to each side of the equation. 12 + -12 + 3x = 45 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 45 + -12 3x = 45 + -12 Combine like terms: 45 + -12 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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