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Simplifying 11(4x + 11) + 8x + -19 = x Reorder the terms: 11(11 + 4x) + 8x + -19 = x (11 * 11 + 4x * 11) + 8x + -19 = x (121 + 44x) + 8x + -19 = x Reorder the terms: 121 + -19 + 44x + 8x = x Combine like terms: 121 + -19 = 102 102 + 44x + 8x = x Combine like terms: 44x + 8x = 52x 102 + 52x = x Solving 102 + 52x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 102 + 52x + -1x = x + -1x Combine like terms: 52x + -1x = 51x 102 + 51x = x + -1x Combine like terms: x + -1x = 0 102 + 51x = 0 Add '-102' to each side of the equation. 102 + -102 + 51x = 0 + -102 Combine like terms: 102 + -102 = 0 0 + 51x = 0 + -102 51x = 0 + -102 Combine like terms: 0 + -102 = -102 51x = -102 Divide each side by '51'. x = -2 Simplifying x = -2
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