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Simplifying 11 + -46 = 6(x + -1) + -5 Combine like terms: 11 + -46 = -35 -35 = 6(x + -1) + -5 Reorder the terms: -35 = 6(-1 + x) + -5 -35 = (-1 * 6 + x * 6) + -5 -35 = (-6 + 6x) + -5 Reorder the terms: -35 = -6 + -5 + 6x Combine like terms: -6 + -5 = -11 -35 = -11 + 6x Solving -35 = -11 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -35 + -6x = -11 + 6x + -6x Combine like terms: 6x + -6x = 0 -35 + -6x = -11 + 0 -35 + -6x = -11 Add '35' to each side of the equation. -35 + 35 + -6x = -11 + 35 Combine like terms: -35 + 35 = 0 0 + -6x = -11 + 35 -6x = -11 + 35 Combine like terms: -11 + 35 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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