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Simplifying 1(5x + -1) = -2 + -6x Reorder the terms: 1(-1 + 5x) = -2 + -6x (-1 * 1 + 5x * 1) = -2 + -6x (-1 + 5x) = -2 + -6x Solving -1 + 5x = -2 + -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. -1 + 5x + 6x = -2 + -6x + 6x Combine like terms: 5x + 6x = 11x -1 + 11x = -2 + -6x + 6x Combine like terms: -6x + 6x = 0 -1 + 11x = -2 + 0 -1 + 11x = -2 Add '1' to each side of the equation. -1 + 1 + 11x = -2 + 1 Combine like terms: -1 + 1 = 0 0 + 11x = -2 + 1 11x = -2 + 1 Combine like terms: -2 + 1 = -1 11x = -1 Divide each side by '11'. x = -0.09090909091 Simplifying x = -0.09090909091
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