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Simplifying 4(3x + 11) = 5(2 + -1x) Reorder the terms: 4(11 + 3x) = 5(2 + -1x) (11 * 4 + 3x * 4) = 5(2 + -1x) (44 + 12x) = 5(2 + -1x) 44 + 12x = (2 * 5 + -1x * 5) 44 + 12x = (10 + -5x) Solving 44 + 12x = 10 + -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. 44 + 12x + 5x = 10 + -5x + 5x Combine like terms: 12x + 5x = 17x 44 + 17x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 44 + 17x = 10 + 0 44 + 17x = 10 Add '-44' to each side of the equation. 44 + -44 + 17x = 10 + -44 Combine like terms: 44 + -44 = 0 0 + 17x = 10 + -44 17x = 10 + -44 Combine like terms: 10 + -44 = -34 17x = -34 Divide each side by '17'. x = -2 Simplifying x = -2
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