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Simplifying -2(2x + -7) + -3(-4x + 2) = 6 Reorder the terms: -2(-7 + 2x) + -3(-4x + 2) = 6 (-7 * -2 + 2x * -2) + -3(-4x + 2) = 6 (14 + -4x) + -3(-4x + 2) = 6 Reorder the terms: 14 + -4x + -3(2 + -4x) = 6 14 + -4x + (2 * -3 + -4x * -3) = 6 14 + -4x + (-6 + 12x) = 6 Reorder the terms: 14 + -6 + -4x + 12x = 6 Combine like terms: 14 + -6 = 8 8 + -4x + 12x = 6 Combine like terms: -4x + 12x = 8x 8 + 8x = 6 Solving 8 + 8x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 8x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 6 + -8 8x = 6 + -8 Combine like terms: 6 + -8 = -2 8x = -2 Divide each side by '8'. x = -0.25 Simplifying x = -0.25
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