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Simplifying 3.2(2 + -1x) = 0.8(2x + -4) (2 * 3.2 + -1x * 3.2) = 0.8(2x + -4) (6.4 + -3.2x) = 0.8(2x + -4) Reorder the terms: 6.4 + -3.2x = 0.8(-4 + 2x) 6.4 + -3.2x = (-4 * 0.8 + 2x * 0.8) 6.4 + -3.2x = (-3.2 + 1.6x) Solving 6.4 + -3.2x = -3.2 + 1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.6x' to each side of the equation. 6.4 + -3.2x + -1.6x = -3.2 + 1.6x + -1.6x Combine like terms: -3.2x + -1.6x = -4.8x 6.4 + -4.8x = -3.2 + 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 6.4 + -4.8x = -3.2 + 0.0 6.4 + -4.8x = -3.2 Add '-6.4' to each side of the equation. 6.4 + -6.4 + -4.8x = -3.2 + -6.4 Combine like terms: 6.4 + -6.4 = 0.0 0.0 + -4.8x = -3.2 + -6.4 -4.8x = -3.2 + -6.4 Combine like terms: -3.2 + -6.4 = -9.6 -4.8x = -9.6 Divide each side by '-4.8'. x = 2 Simplifying x = 2
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