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Simplifying 0.16x + 0.6(x + -3) = 0.01(2x + -2) Reorder the terms: 0.16x + 0.6(-3 + x) = 0.01(2x + -2) 0.16x + (-3 * 0.6 + x * 0.6) = 0.01(2x + -2) 0.16x + (-1.8 + 0.6x) = 0.01(2x + -2) Reorder the terms: -1.8 + 0.16x + 0.6x = 0.01(2x + -2) Combine like terms: 0.16x + 0.6x = 0.76x -1.8 + 0.76x = 0.01(2x + -2) Reorder the terms: -1.8 + 0.76x = 0.01(-2 + 2x) -1.8 + 0.76x = (-2 * 0.01 + 2x * 0.01) -1.8 + 0.76x = (-0.02 + 0.02x) Solving -1.8 + 0.76x = -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. -1.8 + 0.76x + -0.02x = -0.02 + 0.02x + -0.02x Combine like terms: 0.76x + -0.02x = 0.74x -1.8 + 0.74x = -0.02 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -1.8 + 0.74x = -0.02 + 0.00 -1.8 + 0.74x = -0.02 Add '1.8' to each side of the equation. -1.8 + 1.8 + 0.74x = -0.02 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 0.74x = -0.02 + 1.8 0.74x = -0.02 + 1.8 Combine like terms: -0.02 + 1.8 = 1.78 0.74x = 1.78 Divide each side by '0.74'. x = 2.405405405 Simplifying x = 2.405405405
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