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Simplifying -6(-4x + 2) = -1x + 38 Reorder the terms: -6(2 + -4x) = -1x + 38 (2 * -6 + -4x * -6) = -1x + 38 (-12 + 24x) = -1x + 38 Reorder the terms: -12 + 24x = 38 + -1x Solving -12 + 24x = 38 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -12 + 24x + x = 38 + -1x + x Combine like terms: 24x + x = 25x -12 + 25x = 38 + -1x + x Combine like terms: -1x + x = 0 -12 + 25x = 38 + 0 -12 + 25x = 38 Add '12' to each side of the equation. -12 + 12 + 25x = 38 + 12 Combine like terms: -12 + 12 = 0 0 + 25x = 38 + 12 25x = 38 + 12 Combine like terms: 38 + 12 = 50 25x = 50 Divide each side by '25'. x = 2 Simplifying x = 2
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