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Simplifying 11(2x + -7) + -2(5x + -11) = 5(2x + 11) Reorder the terms: 11(-7 + 2x) + -2(5x + -11) = 5(2x + 11) (-7 * 11 + 2x * 11) + -2(5x + -11) = 5(2x + 11) (-77 + 22x) + -2(5x + -11) = 5(2x + 11) Reorder the terms: -77 + 22x + -2(-11 + 5x) = 5(2x + 11) -77 + 22x + (-11 * -2 + 5x * -2) = 5(2x + 11) -77 + 22x + (22 + -10x) = 5(2x + 11) Reorder the terms: -77 + 22 + 22x + -10x = 5(2x + 11) Combine like terms: -77 + 22 = -55 -55 + 22x + -10x = 5(2x + 11) Combine like terms: 22x + -10x = 12x -55 + 12x = 5(2x + 11) Reorder the terms: -55 + 12x = 5(11 + 2x) -55 + 12x = (11 * 5 + 2x * 5) -55 + 12x = (55 + 10x) Solving -55 + 12x = 55 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -55 + 12x + -10x = 55 + 10x + -10x Combine like terms: 12x + -10x = 2x -55 + 2x = 55 + 10x + -10x Combine like terms: 10x + -10x = 0 -55 + 2x = 55 + 0 -55 + 2x = 55 Add '55' to each side of the equation. -55 + 55 + 2x = 55 + 55 Combine like terms: -55 + 55 = 0 0 + 2x = 55 + 55 2x = 55 + 55 Combine like terms: 55 + 55 = 110 2x = 110 Divide each side by '2'. x = 55 Simplifying x = 55
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