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Simplifying 0.16x + 0.8(x + -5) = 0.01(2x + -1) Reorder the terms: 0.16x + 0.8(-5 + x) = 0.01(2x + -1) 0.16x + (-5 * 0.8 + x * 0.8) = 0.01(2x + -1) 0.16x + (-4 + 0.8x) = 0.01(2x + -1) Reorder the terms: -4 + 0.16x + 0.8x = 0.01(2x + -1) Combine like terms: 0.16x + 0.8x = 0.96x -4 + 0.96x = 0.01(2x + -1) Reorder the terms: -4 + 0.96x = 0.01(-1 + 2x) -4 + 0.96x = (-1 * 0.01 + 2x * 0.01) -4 + 0.96x = (-0.01 + 0.02x) Solving -4 + 0.96x = -0.01 + 0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02x' to each side of the equation. -4 + 0.96x + -0.02x = -0.01 + 0.02x + -0.02x Combine like terms: 0.96x + -0.02x = 0.94x -4 + 0.94x = -0.01 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -4 + 0.94x = -0.01 + 0.00 -4 + 0.94x = -0.01 Add '4' to each side of the equation. -4 + 4 + 0.94x = -0.01 + 4 Combine like terms: -4 + 4 = 0 0 + 0.94x = -0.01 + 4 0.94x = -0.01 + 4 Combine like terms: -0.01 + 4 = 3.99 0.94x = 3.99 Divide each side by '0.94'. x = 4.244680851 Simplifying x = 4.244680851
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