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Simplifying 11(-1x + 8) = 6(-11x + 6) + -3 Reorder the terms: 11(8 + -1x) = 6(-11x + 6) + -3 (8 * 11 + -1x * 11) = 6(-11x + 6) + -3 (88 + -11x) = 6(-11x + 6) + -3 Reorder the terms: 88 + -11x = 6(6 + -11x) + -3 88 + -11x = (6 * 6 + -11x * 6) + -3 88 + -11x = (36 + -66x) + -3 Reorder the terms: 88 + -11x = 36 + -3 + -66x Combine like terms: 36 + -3 = 33 88 + -11x = 33 + -66x Solving 88 + -11x = 33 + -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. 88 + -11x + 66x = 33 + -66x + 66x Combine like terms: -11x + 66x = 55x 88 + 55x = 33 + -66x + 66x Combine like terms: -66x + 66x = 0 88 + 55x = 33 + 0 88 + 55x = 33 Add '-88' to each side of the equation. 88 + -88 + 55x = 33 + -88 Combine like terms: 88 + -88 = 0 0 + 55x = 33 + -88 55x = 33 + -88 Combine like terms: 33 + -88 = -55 55x = -55 Divide each side by '55'. x = -1 Simplifying x = -1
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