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Simplifying 0.13x + 0.3(x + -2) = 0.01(2x + -1) Reorder the terms: 0.13x + 0.3(-2 + x) = 0.01(2x + -1) 0.13x + (-2 * 0.3 + x * 0.3) = 0.01(2x + -1) 0.13x + (-0.6 + 0.3x) = 0.01(2x + -1) Reorder the terms: -0.6 + 0.13x + 0.3x = 0.01(2x + -1) Combine like terms: 0.13x + 0.3x = 0.43x -0.6 + 0.43x = 0.01(2x + -1) Reorder the terms: -0.6 + 0.43x = 0.01(-1 + 2x) -0.6 + 0.43x = (-1 * 0.01 + 2x * 0.01) -0.6 + 0.43x = (-0.01 + 0.02x) Solving -0.6 + 0.43x = -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. -0.6 + 0.43x + -0.02x = -0.01 + 0.02x + -0.02x Combine like terms: 0.43x + -0.02x = 0.41x -0.6 + 0.41x = -0.01 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -0.6 + 0.41x = -0.01 + 0.00 -0.6 + 0.41x = -0.01 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.41x = -0.01 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.41x = -0.01 + 0.6 0.41x = -0.01 + 0.6 Combine like terms: -0.01 + 0.6 = 0.59 0.41x = 0.59 Divide each side by '0.41'. x = 1.43902439 Simplifying x = 1.43902439
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