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Simplifying 6(x + -1(7x + -6)) = 2 + -3x Reorder the terms: 6(x + -1(-6 + 7x)) = 2 + -3x 6(x + (-6 * -1 + 7x * -1)) = 2 + -3x 6(x + (6 + -7x)) = 2 + -3x Reorder the terms: 6(6 + x + -7x) = 2 + -3x Combine like terms: x + -7x = -6x 6(6 + -6x) = 2 + -3x (6 * 6 + -6x * 6) = 2 + -3x (36 + -36x) = 2 + -3x Solving 36 + -36x = 2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 36 + -36x + 3x = 2 + -3x + 3x Combine like terms: -36x + 3x = -33x 36 + -33x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 36 + -33x = 2 + 0 36 + -33x = 2 Add '-36' to each side of the equation. 36 + -36 + -33x = 2 + -36 Combine like terms: 36 + -36 = 0 0 + -33x = 2 + -36 -33x = 2 + -36 Combine like terms: 2 + -36 = -34 -33x = -34 Divide each side by '-33'. x = 1.03030303 Simplifying x = 1.03030303
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