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Simplifying -6(-2x + 2) + -4x = 2(x + -7) + -6 Reorder the terms: -6(2 + -2x) + -4x = 2(x + -7) + -6 (2 * -6 + -2x * -6) + -4x = 2(x + -7) + -6 (-12 + 12x) + -4x = 2(x + -7) + -6 Combine like terms: 12x + -4x = 8x -12 + 8x = 2(x + -7) + -6 Reorder the terms: -12 + 8x = 2(-7 + x) + -6 -12 + 8x = (-7 * 2 + x * 2) + -6 -12 + 8x = (-14 + 2x) + -6 Reorder the terms: -12 + 8x = -14 + -6 + 2x Combine like terms: -14 + -6 = -20 -12 + 8x = -20 + 2x Solving -12 + 8x = -20 + 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. -12 + 8x + -2x = -20 + 2x + -2x Combine like terms: 8x + -2x = 6x -12 + 6x = -20 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 6x = -20 + 0 -12 + 6x = -20 Add '12' to each side of the equation. -12 + 12 + 6x = -20 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = -20 + 12 6x = -20 + 12 Combine like terms: -20 + 12 = -8 6x = -8 Divide each side by '6'. x = -1.333333333 Simplifying x = -1.333333333
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