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Simplifying 1.6(2x + -1) = 2(0.4x + 0.7) Reorder the terms: 1.6(-1 + 2x) = 2(0.4x + 0.7) (-1 * 1.6 + 2x * 1.6) = 2(0.4x + 0.7) (-1.6 + 3.2x) = 2(0.4x + 0.7) Reorder the terms: -1.6 + 3.2x = 2(0.7 + 0.4x) -1.6 + 3.2x = (0.7 * 2 + 0.4x * 2) -1.6 + 3.2x = (1.4 + 0.8x) Solving -1.6 + 3.2x = 1.4 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. -1.6 + 3.2x + -0.8x = 1.4 + 0.8x + -0.8x Combine like terms: 3.2x + -0.8x = 2.4x -1.6 + 2.4x = 1.4 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -1.6 + 2.4x = 1.4 + 0.0 -1.6 + 2.4x = 1.4 Add '1.6' to each side of the equation. -1.6 + 1.6 + 2.4x = 1.4 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 2.4x = 1.4 + 1.6 2.4x = 1.4 + 1.6 Combine like terms: 1.4 + 1.6 = 3 2.4x = 3 Divide each side by '2.4'. x = 1.25 Simplifying x = 1.25
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