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Simplifying 0.16x + 0.4(x + -1) = 0.01(2x + -2) Reorder the terms: 0.16x + 0.4(-1 + x) = 0.01(2x + -2) 0.16x + (-1 * 0.4 + x * 0.4) = 0.01(2x + -2) 0.16x + (-0.4 + 0.4x) = 0.01(2x + -2) Reorder the terms: -0.4 + 0.16x + 0.4x = 0.01(2x + -2) Combine like terms: 0.16x + 0.4x = 0.56x -0.4 + 0.56x = 0.01(2x + -2) Reorder the terms: -0.4 + 0.56x = 0.01(-2 + 2x) -0.4 + 0.56x = (-2 * 0.01 + 2x * 0.01) -0.4 + 0.56x = (-0.02 + 0.02x) Solving -0.4 + 0.56x = -0.02 + 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. -0.4 + 0.56x + -0.02x = -0.02 + 0.02x + -0.02x Combine like terms: 0.56x + -0.02x = 0.54x -0.4 + 0.54x = -0.02 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -0.4 + 0.54x = -0.02 + 0.00 -0.4 + 0.54x = -0.02 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.54x = -0.02 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.54x = -0.02 + 0.4 0.54x = -0.02 + 0.4 Combine like terms: -0.02 + 0.4 = 0.38 0.54x = 0.38 Divide each side by '0.54'. x = 0.7037037037 Simplifying x = 0.7037037037
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