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Simplifying 0.16x + 0.8(x + -2) = 0.01(2x + -5) Reorder the terms: 0.16x + 0.8(-2 + x) = 0.01(2x + -5) 0.16x + (-2 * 0.8 + x * 0.8) = 0.01(2x + -5) 0.16x + (-1.6 + 0.8x) = 0.01(2x + -5) Reorder the terms: -1.6 + 0.16x + 0.8x = 0.01(2x + -5) Combine like terms: 0.16x + 0.8x = 0.96x -1.6 + 0.96x = 0.01(2x + -5) Reorder the terms: -1.6 + 0.96x = 0.01(-5 + 2x) -1.6 + 0.96x = (-5 * 0.01 + 2x * 0.01) -1.6 + 0.96x = (-0.05 + 0.02x) Solving -1.6 + 0.96x = -0.05 + 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. -1.6 + 0.96x + -0.02x = -0.05 + 0.02x + -0.02x Combine like terms: 0.96x + -0.02x = 0.94x -1.6 + 0.94x = -0.05 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -1.6 + 0.94x = -0.05 + 0.00 -1.6 + 0.94x = -0.05 Add '1.6' to each side of the equation. -1.6 + 1.6 + 0.94x = -0.05 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 0.94x = -0.05 + 1.6 0.94x = -0.05 + 1.6 Combine like terms: -0.05 + 1.6 = 1.55 0.94x = 1.55 Divide each side by '0.94'. x = 1.64893617 Simplifying x = 1.64893617
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