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Simplifying -3(-8x + 2) + -2x = 6(x + -2) + -2 Reorder the terms: -3(2 + -8x) + -2x = 6(x + -2) + -2 (2 * -3 + -8x * -3) + -2x = 6(x + -2) + -2 (-6 + 24x) + -2x = 6(x + -2) + -2 Combine like terms: 24x + -2x = 22x -6 + 22x = 6(x + -2) + -2 Reorder the terms: -6 + 22x = 6(-2 + x) + -2 -6 + 22x = (-2 * 6 + x * 6) + -2 -6 + 22x = (-12 + 6x) + -2 Reorder the terms: -6 + 22x = -12 + -2 + 6x Combine like terms: -12 + -2 = -14 -6 + 22x = -14 + 6x Solving -6 + 22x = -14 + 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. -6 + 22x + -6x = -14 + 6x + -6x Combine like terms: 22x + -6x = 16x -6 + 16x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 16x = -14 + 0 -6 + 16x = -14 Add '6' to each side of the equation. -6 + 6 + 16x = -14 + 6 Combine like terms: -6 + 6 = 0 0 + 16x = -14 + 6 16x = -14 + 6 Combine like terms: -14 + 6 = -8 16x = -8 Divide each side by '16'. x = -0.5 Simplifying x = -0.5
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