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Simplifying -0.4(-6.59 + -8x) = 3.5x (-6.59 * -0.4 + -8x * -0.4) = 3.5x (2.636 + 3.2x) = 3.5x Solving 2.636 + 3.2x = 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. 2.636 + 3.2x + -3.5x = 3.5x + -3.5x Combine like terms: 3.2x + -3.5x = -0.3x 2.636 + -0.3x = 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 2.636 + -0.3x = 0.0 Add '-2.636' to each side of the equation. 2.636 + -2.636 + -0.3x = 0.0 + -2.636 Combine like terms: 2.636 + -2.636 = 0.000 0.000 + -0.3x = 0.0 + -2.636 -0.3x = 0.0 + -2.636 Combine like terms: 0.0 + -2.636 = -2.636 -0.3x = -2.636 Divide each side by '-0.3'. x = 8.786666667 Simplifying x = 8.786666667
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