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Simplifying 11(x + 3) = 5(x + -13) + 44 Reorder the terms: 11(3 + x) = 5(x + -13) + 44 (3 * 11 + x * 11) = 5(x + -13) + 44 (33 + 11x) = 5(x + -13) + 44 Reorder the terms: 33 + 11x = 5(-13 + x) + 44 33 + 11x = (-13 * 5 + x * 5) + 44 33 + 11x = (-65 + 5x) + 44 Reorder the terms: 33 + 11x = -65 + 44 + 5x Combine like terms: -65 + 44 = -21 33 + 11x = -21 + 5x Solving 33 + 11x = -21 + 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 + 11x + -5x = -21 + 5x + -5x Combine like terms: 11x + -5x = 6x 33 + 6x = -21 + 5x + -5x Combine like terms: 5x + -5x = 0 33 + 6x = -21 + 0 33 + 6x = -21 Add '-33' to each side of the equation. 33 + -33 + 6x = -21 + -33 Combine like terms: 33 + -33 = 0 0 + 6x = -21 + -33 6x = -21 + -33 Combine like terms: -21 + -33 = -54 6x = -54 Divide each side by '6'. x = -9 Simplifying x = -9
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