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Simplifying 4x + 2 + -2(-2x + -1) = 2(x + -6) Reorder the terms: 4x + 2 + -2(-1 + -2x) = 2(x + -6) 4x + 2 + (-1 * -2 + -2x * -2) = 2(x + -6) 4x + 2 + (2 + 4x) = 2(x + -6) Reorder the terms: 2 + 2 + 4x + 4x = 2(x + -6) Combine like terms: 2 + 2 = 4 4 + 4x + 4x = 2(x + -6) Combine like terms: 4x + 4x = 8x 4 + 8x = 2(x + -6) Reorder the terms: 4 + 8x = 2(-6 + x) 4 + 8x = (-6 * 2 + x * 2) 4 + 8x = (-12 + 2x) Solving 4 + 8x = -12 + 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. 4 + 8x + -2x = -12 + 2x + -2x Combine like terms: 8x + -2x = 6x 4 + 6x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 6x = -12 + 0 4 + 6x = -12 Add '-4' to each side of the equation. 4 + -4 + 6x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = -12 + -4 6x = -12 + -4 Combine like terms: -12 + -4 = -16 6x = -16 Divide each side by '6'. x = -2.666666667 Simplifying x = -2.666666667
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