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Simplifying 11(3 + 2x) = 5(x + 6.5) (3 * 11 + 2x * 11) = 5(x + 6.5) (33 + 22x) = 5(x + 6.5) Reorder the terms: 33 + 22x = 5(6.5 + x) 33 + 22x = (6.5 * 5 + x * 5) 33 + 22x = (32.5 + 5x) Solving 33 + 22x = 32.5 + 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. 33 + 22x + -5x = 32.5 + 5x + -5x Combine like terms: 22x + -5x = 17x 33 + 17x = 32.5 + 5x + -5x Combine like terms: 5x + -5x = 0 33 + 17x = 32.5 + 0 33 + 17x = 32.5 Add '-33' to each side of the equation. 33 + -33 + 17x = 32.5 + -33 Combine like terms: 33 + -33 = 0 0 + 17x = 32.5 + -33 17x = 32.5 + -33 Combine like terms: 32.5 + -33 = -0.5 17x = -0.5 Divide each side by '17'. x = -0.02941176471 Simplifying x = -0.02941176471
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