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Simplifying (8x + 1) + -1(2 + 9) = 102 Reorder the terms: (1 + 8x) + -1(2 + 9) = 102 Remove parenthesis around (1 + 8x) 1 + 8x + -1(2 + 9) = 102 Combine like terms: 2 + 9 = 11 1 + 8x + -1(11) = 102 Multiply -1 * 11 1 + 8x + -11 = 102 Reorder the terms: 1 + -11 + 8x = 102 Combine like terms: 1 + -11 = -10 -10 + 8x = 102 Solving -10 + 8x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 8x = 102 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = 102 + 10 8x = 102 + 10 Combine like terms: 102 + 10 = 112 8x = 112 Divide each side by '8'. x = 14 Simplifying x = 14
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