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Simplifying -6(x + 11) = 7x Reorder the terms: -6(11 + x) = 7x (11 * -6 + x * -6) = 7x (-66 + -6x) = 7x Solving -66 + -6x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -66 + -6x + -7x = 7x + -7x Combine like terms: -6x + -7x = -13x -66 + -13x = 7x + -7x Combine like terms: 7x + -7x = 0 -66 + -13x = 0 Add '66' to each side of the equation. -66 + 66 + -13x = 0 + 66 Combine like terms: -66 + 66 = 0 0 + -13x = 0 + 66 -13x = 0 + 66 Combine like terms: 0 + 66 = 66 -13x = 66 Divide each side by '-13'. x = -5.076923077 Simplifying x = -5.076923077
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