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Simplifying 12.8(x + 6) = 4(x + -4) Reorder the terms: 12.8(6 + x) = 4(x + -4) (6 * 12.8 + x * 12.8) = 4(x + -4) (76.8 + 12.8x) = 4(x + -4) Reorder the terms: 76.8 + 12.8x = 4(-4 + x) 76.8 + 12.8x = (-4 * 4 + x * 4) 76.8 + 12.8x = (-16 + 4x) Solving 76.8 + 12.8x = -16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 76.8 + 12.8x + -4x = -16 + 4x + -4x Combine like terms: 12.8x + -4x = 8.8x 76.8 + 8.8x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 76.8 + 8.8x = -16 + 0 76.8 + 8.8x = -16 Add '-76.8' to each side of the equation. 76.8 + -76.8 + 8.8x = -16 + -76.8 Combine like terms: 76.8 + -76.8 = 0.0 0.0 + 8.8x = -16 + -76.8 8.8x = -16 + -76.8 Combine like terms: -16 + -76.8 = -92.8 8.8x = -92.8 Divide each side by '8.8'. x = -10.54545455 Simplifying x = -10.54545455
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