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Simplifying 11(2x + -5) = 3x + 21 Reorder the terms: 11(-5 + 2x) = 3x + 21 (-5 * 11 + 2x * 11) = 3x + 21 (-55 + 22x) = 3x + 21 Reorder the terms: -55 + 22x = 21 + 3x Solving -55 + 22x = 21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -55 + 22x + -3x = 21 + 3x + -3x Combine like terms: 22x + -3x = 19x -55 + 19x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 -55 + 19x = 21 + 0 -55 + 19x = 21 Add '55' to each side of the equation. -55 + 55 + 19x = 21 + 55 Combine like terms: -55 + 55 = 0 0 + 19x = 21 + 55 19x = 21 + 55 Combine like terms: 21 + 55 = 76 19x = 76 Divide each side by '19'. x = 4 Simplifying x = 4
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