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Simplifying 5(x + 2) = 7(x + -5) + -11x Reorder the terms: 5(2 + x) = 7(x + -5) + -11x (2 * 5 + x * 5) = 7(x + -5) + -11x (10 + 5x) = 7(x + -5) + -11x Reorder the terms: 10 + 5x = 7(-5 + x) + -11x 10 + 5x = (-5 * 7 + x * 7) + -11x 10 + 5x = (-35 + 7x) + -11x Combine like terms: 7x + -11x = -4x 10 + 5x = -35 + -4x Solving 10 + 5x = -35 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 10 + 5x + 4x = -35 + -4x + 4x Combine like terms: 5x + 4x = 9x 10 + 9x = -35 + -4x + 4x Combine like terms: -4x + 4x = 0 10 + 9x = -35 + 0 10 + 9x = -35 Add '-10' to each side of the equation. 10 + -10 + 9x = -35 + -10 Combine like terms: 10 + -10 = 0 0 + 9x = -35 + -10 9x = -35 + -10 Combine like terms: -35 + -10 = -45 9x = -45 Divide each side by '9'. x = -5 Simplifying x = -5
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