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Simplifying -0.5(2.55 + 8x) = -3.2x (2.55 * -0.5 + 8x * -0.5) = -3.2x (-1.275 + -4x) = -3.2x Solving -1.275 + -4x = -3.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.2x' to each side of the equation. -1.275 + -4x + 3.2x = -3.2x + 3.2x Combine like terms: -4x + 3.2x = -0.8x -1.275 + -0.8x = -3.2x + 3.2x Combine like terms: -3.2x + 3.2x = 0.0 -1.275 + -0.8x = 0.0 Add '1.275' to each side of the equation. -1.275 + 1.275 + -0.8x = 0.0 + 1.275 Combine like terms: -1.275 + 1.275 = 0.000 0.000 + -0.8x = 0.0 + 1.275 -0.8x = 0.0 + 1.275 Combine like terms: 0.0 + 1.275 = 1.275 -0.8x = 1.275 Divide each side by '-0.8'. x = -1.59375 Simplifying x = -1.59375
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