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Simplifying 50x * 0.6 = 1.6(10x + 0.4) * 2 Reorder the terms for easier multiplication: 50 * 0.6x = 1.6(10x + 0.4) * 2 Multiply 50 * 0.6 30x = 1.6(10x + 0.4) * 2 Reorder the terms: 30x = 1.6(0.4 + 10x) * 2 Reorder the terms for easier multiplication: 30x = 1.6 * 2(0.4 + 10x) Multiply 1.6 * 2 30x = 3.2(0.4 + 10x) 30x = (0.4 * 3.2 + 10x * 3.2) 30x = (1.28 + 32x) Solving 30x = 1.28 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 30x + -32x = 1.28 + 32x + -32x Combine like terms: 30x + -32x = -2x -2x = 1.28 + 32x + -32x Combine like terms: 32x + -32x = 0 -2x = 1.28 + 0 -2x = 1.28 Divide each side by '-2'. x = -0.64 Simplifying x = -0.64
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