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Simplifying 11(3x + 7) = 4(2 + 8x) Reorder the terms: 11(7 + 3x) = 4(2 + 8x) (7 * 11 + 3x * 11) = 4(2 + 8x) (77 + 33x) = 4(2 + 8x) 77 + 33x = (2 * 4 + 8x * 4) 77 + 33x = (8 + 32x) Solving 77 + 33x = 8 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 77 + 33x + -32x = 8 + 32x + -32x Combine like terms: 33x + -32x = 1x 77 + 1x = 8 + 32x + -32x Combine like terms: 32x + -32x = 0 77 + 1x = 8 + 0 77 + 1x = 8 Add '-77' to each side of the equation. 77 + -77 + 1x = 8 + -77 Combine like terms: 77 + -77 = 0 0 + 1x = 8 + -77 1x = 8 + -77 Combine like terms: 8 + -77 = -69 1x = -69 Divide each side by '1'. x = -69 Simplifying x = -69
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