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Simplifying 8(x + -2) + 3(x + 9) = 0 Reorder the terms: 8(-2 + x) + 3(x + 9) = 0 (-2 * 8 + x * 8) + 3(x + 9) = 0 (-16 + 8x) + 3(x + 9) = 0 Reorder the terms: -16 + 8x + 3(9 + x) = 0 -16 + 8x + (9 * 3 + x * 3) = 0 -16 + 8x + (27 + 3x) = 0 Reorder the terms: -16 + 27 + 8x + 3x = 0 Combine like terms: -16 + 27 = 11 11 + 8x + 3x = 0 Combine like terms: 8x + 3x = 11x 11 + 11x = 0 Solving 11 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 11x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 11x = 0 + -11 11x = 0 + -11 Combine like terms: 0 + -11 = -11 11x = -11 Divide each side by '11'. x = -1 Simplifying x = -1
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