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Simplifying 4(3x + 4) = 11(x + 5) Reorder the terms: 4(4 + 3x) = 11(x + 5) (4 * 4 + 3x * 4) = 11(x + 5) (16 + 12x) = 11(x + 5) Reorder the terms: 16 + 12x = 11(5 + x) 16 + 12x = (5 * 11 + x * 11) 16 + 12x = (55 + 11x) Solving 16 + 12x = 55 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 16 + 12x + -11x = 55 + 11x + -11x Combine like terms: 12x + -11x = 1x 16 + 1x = 55 + 11x + -11x Combine like terms: 11x + -11x = 0 16 + 1x = 55 + 0 16 + 1x = 55 Add '-16' to each side of the equation. 16 + -16 + 1x = 55 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 55 + -16 1x = 55 + -16 Combine like terms: 55 + -16 = 39 1x = 39 Divide each side by '1'. x = 39 Simplifying x = 39
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