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Simplifying 0.2(4x + -8.1) = 2(3.2x + -1.6) Reorder the terms: 0.2(-8.1 + 4x) = 2(3.2x + -1.6) (-8.1 * 0.2 + 4x * 0.2) = 2(3.2x + -1.6) (-1.62 + 0.8x) = 2(3.2x + -1.6) Reorder the terms: -1.62 + 0.8x = 2(-1.6 + 3.2x) -1.62 + 0.8x = (-1.6 * 2 + 3.2x * 2) -1.62 + 0.8x = (-3.2 + 6.4x) Solving -1.62 + 0.8x = -3.2 + 6.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.4x' to each side of the equation. -1.62 + 0.8x + -6.4x = -3.2 + 6.4x + -6.4x Combine like terms: 0.8x + -6.4x = -5.6x -1.62 + -5.6x = -3.2 + 6.4x + -6.4x Combine like terms: 6.4x + -6.4x = 0.0 -1.62 + -5.6x = -3.2 + 0.0 -1.62 + -5.6x = -3.2 Add '1.62' to each side of the equation. -1.62 + 1.62 + -5.6x = -3.2 + 1.62 Combine like terms: -1.62 + 1.62 = 0.00 0.00 + -5.6x = -3.2 + 1.62 -5.6x = -3.2 + 1.62 Combine like terms: -3.2 + 1.62 = -1.58 -5.6x = -1.58 Divide each side by '-5.6'. x = 0.2821428571 Simplifying x = 0.2821428571
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