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Simplifying x + 6(x + -11) + (x + -11) = 17.65 Reorder the terms: x + 6(-11 + x) + (x + -11) = 17.65 x + (-11 * 6 + x * 6) + (x + -11) = 17.65 x + (-66 + 6x) + (x + -11) = 17.65 Reorder the terms: x + -66 + 6x + (-11 + x) = 17.65 Remove parenthesis around (-11 + x) x + -66 + 6x + -11 + x = 17.65 Reorder the terms: -66 + -11 + x + 6x + x = 17.65 Combine like terms: -66 + -11 = -77 -77 + x + 6x + x = 17.65 Combine like terms: x + 6x = 7x -77 + 7x + x = 17.65 Combine like terms: 7x + x = 8x -77 + 8x = 17.65 Solving -77 + 8x = 17.65 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '77' to each side of the equation. -77 + 77 + 8x = 17.65 + 77 Combine like terms: -77 + 77 = 0 0 + 8x = 17.65 + 77 8x = 17.65 + 77 Combine like terms: 17.65 + 77 = 94.65 8x = 94.65 Divide each side by '8'. x = 11.83125 Simplifying x = 11.83125
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