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Simplifying 7x + 11 = -2(x + 8) Reorder the terms: 11 + 7x = -2(x + 8) Reorder the terms: 11 + 7x = -2(8 + x) 11 + 7x = (8 * -2 + x * -2) 11 + 7x = (-16 + -2x) Solving 11 + 7x = -16 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 11 + 7x + 2x = -16 + -2x + 2x Combine like terms: 7x + 2x = 9x 11 + 9x = -16 + -2x + 2x Combine like terms: -2x + 2x = 0 11 + 9x = -16 + 0 11 + 9x = -16 Add '-11' to each side of the equation. 11 + -11 + 9x = -16 + -11 Combine like terms: 11 + -11 = 0 0 + 9x = -16 + -11 9x = -16 + -11 Combine like terms: -16 + -11 = -27 9x = -27 Divide each side by '9'. x = -3 Simplifying x = -3
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