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Simplifying -6(6 + -1x) + 1 = 2(x + -2) (6 * -6 + -1x * -6) + 1 = 2(x + -2) (-36 + 6x) + 1 = 2(x + -2) Reorder the terms: -36 + 1 + 6x = 2(x + -2) Combine like terms: -36 + 1 = -35 -35 + 6x = 2(x + -2) Reorder the terms: -35 + 6x = 2(-2 + x) -35 + 6x = (-2 * 2 + x * 2) -35 + 6x = (-4 + 2x) Solving -35 + 6x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -35 + 6x + -2x = -4 + 2x + -2x Combine like terms: 6x + -2x = 4x -35 + 4x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -35 + 4x = -4 + 0 -35 + 4x = -4 Add '35' to each side of the equation. -35 + 35 + 4x = -4 + 35 Combine like terms: -35 + 35 = 0 0 + 4x = -4 + 35 4x = -4 + 35 Combine like terms: -4 + 35 = 31 4x = 31 Divide each side by '4'. x = 7.75 Simplifying x = 7.75
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