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Simplifying 34(22 + -6.5) = 11(6x + -10 + 25.7) Combine like terms: 22 + -6.5 = 15.5 34(15.5) = 11(6x + -10 + 25.7) Multiply 34 * 15.5 527 = 11(6x + -10 + 25.7) Reorder the terms: 527 = 11(-10 + 25.7 + 6x) Combine like terms: -10 + 25.7 = 15.7 527 = 11(15.7 + 6x) 527 = (15.7 * 11 + 6x * 11) 527 = (172.7 + 66x) Solving 527 = 172.7 + 66x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-66x' to each side of the equation. 527 + -66x = 172.7 + 66x + -66x Combine like terms: 66x + -66x = 0 527 + -66x = 172.7 + 0 527 + -66x = 172.7 Add '-527' to each side of the equation. 527 + -527 + -66x = 172.7 + -527 Combine like terms: 527 + -527 = 0 0 + -66x = 172.7 + -527 -66x = 172.7 + -527 Combine like terms: 172.7 + -527 = -354.3 -66x = -354.3 Divide each side by '-66'. x = 5.368181818 Simplifying x = 5.368181818
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