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Simplifying -6x + 4(13 + -8x) = 14 -6x + (13 * 4 + -8x * 4) = 14 -6x + (52 + -32x) = 14 Reorder the terms: 52 + -6x + -32x = 14 Combine like terms: -6x + -32x = -38x 52 + -38x = 14 Solving 52 + -38x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + -38x = 14 + -52 Combine like terms: 52 + -52 = 0 0 + -38x = 14 + -52 -38x = 14 + -52 Combine like terms: 14 + -52 = -38 -38x = -38 Divide each side by '-38'. x = 1 Simplifying x = 1
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