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Simplifying -5(2x + 5) + -5(4 + -1x) + 11(2x + 1) = 0 Reorder the terms: -5(5 + 2x) + -5(4 + -1x) + 11(2x + 1) = 0 (5 * -5 + 2x * -5) + -5(4 + -1x) + 11(2x + 1) = 0 (-25 + -10x) + -5(4 + -1x) + 11(2x + 1) = 0 -25 + -10x + (4 * -5 + -1x * -5) + 11(2x + 1) = 0 -25 + -10x + (-20 + 5x) + 11(2x + 1) = 0 Reorder the terms: -25 + -10x + -20 + 5x + 11(1 + 2x) = 0 -25 + -10x + -20 + 5x + (1 * 11 + 2x * 11) = 0 -25 + -10x + -20 + 5x + (11 + 22x) = 0 Reorder the terms: -25 + -20 + 11 + -10x + 5x + 22x = 0 Combine like terms: -25 + -20 = -45 -45 + 11 + -10x + 5x + 22x = 0 Combine like terms: -45 + 11 = -34 -34 + -10x + 5x + 22x = 0 Combine like terms: -10x + 5x = -5x -34 + -5x + 22x = 0 Combine like terms: -5x + 22x = 17x -34 + 17x = 0 Solving -34 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 17x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 17x = 0 + 34 17x = 0 + 34 Combine like terms: 0 + 34 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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