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Simplifying 0.12x + -0.01(x + 2) = 0.03(2 + -1x) Reorder the terms: 0.12x + -0.01(2 + x) = 0.03(2 + -1x) 0.12x + (2 * -0.01 + x * -0.01) = 0.03(2 + -1x) 0.12x + (-0.02 + -0.01x) = 0.03(2 + -1x) Reorder the terms: -0.02 + 0.12x + -0.01x = 0.03(2 + -1x) Combine like terms: 0.12x + -0.01x = 0.11x -0.02 + 0.11x = 0.03(2 + -1x) -0.02 + 0.11x = (2 * 0.03 + -1x * 0.03) -0.02 + 0.11x = (0.06 + -0.03x) Solving -0.02 + 0.11x = 0.06 + -0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.03x' to each side of the equation. -0.02 + 0.11x + 0.03x = 0.06 + -0.03x + 0.03x Combine like terms: 0.11x + 0.03x = 0.14x -0.02 + 0.14x = 0.06 + -0.03x + 0.03x Combine like terms: -0.03x + 0.03x = 0.00 -0.02 + 0.14x = 0.06 + 0.00 -0.02 + 0.14x = 0.06 Add '0.02' to each side of the equation. -0.02 + 0.02 + 0.14x = 0.06 + 0.02 Combine like terms: -0.02 + 0.02 = 0.00 0.00 + 0.14x = 0.06 + 0.02 0.14x = 0.06 + 0.02 Combine like terms: 0.06 + 0.02 = 0.08 0.14x = 0.08 Divide each side by '0.14'. x = 0.5714285714 Simplifying x = 0.5714285714
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