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Simplifying 1.6(10x + 0.4) + -2x = 50x(0.6) Reorder the terms: 1.6(0.4 + 10x) + -2x = 50x(0.6) (0.4 * 1.6 + 10x * 1.6) + -2x = 50x(0.6) (0.64 + 16x) + -2x = 50x(0.6) Combine like terms: 16x + -2x = 14x 0.64 + 14x = 50x(0.6) Reorder the terms for easier multiplication: 0.64 + 14x = 50 * 0.6x Multiply 50 * 0.6 0.64 + 14x = 30x Solving 0.64 + 14x = 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 0.64 + 14x + -30x = 30x + -30x Combine like terms: 14x + -30x = -16x 0.64 + -16x = 30x + -30x Combine like terms: 30x + -30x = 0 0.64 + -16x = 0 Add '-0.64' to each side of the equation. 0.64 + -0.64 + -16x = 0 + -0.64 Combine like terms: 0.64 + -0.64 = 0.00 0.00 + -16x = 0 + -0.64 -16x = 0 + -0.64 Combine like terms: 0 + -0.64 = -0.64 -16x = -0.64 Divide each side by '-16'. x = 0.04 Simplifying x = 0.04
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