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Simplifying 2(-1 + -1x) = 3(-1 + 2x) + 6 (-1 * 2 + -1x * 2) = 3(-1 + 2x) + 6 (-2 + -2x) = 3(-1 + 2x) + 6 -2 + -2x = (-1 * 3 + 2x * 3) + 6 -2 + -2x = (-3 + 6x) + 6 Reorder the terms: -2 + -2x = -3 + 6 + 6x Combine like terms: -3 + 6 = 3 -2 + -2x = 3 + 6x Solving -2 + -2x = 3 + 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. -2 + -2x + -6x = 3 + 6x + -6x Combine like terms: -2x + -6x = -8x -2 + -8x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -8x = 3 + 0 -2 + -8x = 3 Add '2' to each side of the equation. -2 + 2 + -8x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = 3 + 2 -8x = 3 + 2 Combine like terms: 3 + 2 = 5 -8x = 5 Divide each side by '-8'. x = -0.625 Simplifying x = -0.625
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