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Simplifying 7(2x + 2) + -5(x + -4) = 11 Reorder the terms: 7(2 + 2x) + -5(x + -4) = 11 (2 * 7 + 2x * 7) + -5(x + -4) = 11 (14 + 14x) + -5(x + -4) = 11 Reorder the terms: 14 + 14x + -5(-4 + x) = 11 14 + 14x + (-4 * -5 + x * -5) = 11 14 + 14x + (20 + -5x) = 11 Reorder the terms: 14 + 20 + 14x + -5x = 11 Combine like terms: 14 + 20 = 34 34 + 14x + -5x = 11 Combine like terms: 14x + -5x = 9x 34 + 9x = 11 Solving 34 + 9x = 11 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 + 9x = 11 + -34 Combine like terms: 34 + -34 = 0 0 + 9x = 11 + -34 9x = 11 + -34 Combine like terms: 11 + -34 = -23 9x = -23 Divide each side by '9'. x = -2.555555556 Simplifying x = -2.555555556
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