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Simplifying 0.8(4x + 5) = 4(0.5x + -2) Reorder the terms: 0.8(5 + 4x) = 4(0.5x + -2) (5 * 0.8 + 4x * 0.8) = 4(0.5x + -2) (4 + 3.2x) = 4(0.5x + -2) Reorder the terms: 4 + 3.2x = 4(-2 + 0.5x) 4 + 3.2x = (-2 * 4 + 0.5x * 4) 4 + 3.2x = (-8 + 2x) Solving 4 + 3.2x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + 3.2x + -2x = -8 + 2x + -2x Combine like terms: 3.2x + -2x = 1.2x 4 + 1.2x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 1.2x = -8 + 0 4 + 1.2x = -8 Add '-4' to each side of the equation. 4 + -4 + 1.2x = -8 + -4 Combine like terms: 4 + -4 = 0 0 + 1.2x = -8 + -4 1.2x = -8 + -4 Combine like terms: -8 + -4 = -12 1.2x = -12 Divide each side by '1.2'. x = -10 Simplifying x = -10
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