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Simplifying 11(4 + -3x) + -5(2x + 13) = 194 (4 * 11 + -3x * 11) + -5(2x + 13) = 194 (44 + -33x) + -5(2x + 13) = 194 Reorder the terms: 44 + -33x + -5(13 + 2x) = 194 44 + -33x + (13 * -5 + 2x * -5) = 194 44 + -33x + (-65 + -10x) = 194 Reorder the terms: 44 + -65 + -33x + -10x = 194 Combine like terms: 44 + -65 = -21 -21 + -33x + -10x = 194 Combine like terms: -33x + -10x = -43x -21 + -43x = 194 Solving -21 + -43x = 194 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -43x = 194 + 21 Combine like terms: -21 + 21 = 0 0 + -43x = 194 + 21 -43x = 194 + 21 Combine like terms: 194 + 21 = 215 -43x = 215 Divide each side by '-43'. x = -5 Simplifying x = -5
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