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Simplifying 0.01 + -0.02(x + 2) = 0.05(2 + -1x) Reorder the terms: 0.01 + -0.02(2 + x) = 0.05(2 + -1x) 0.01 + (2 * -0.02 + x * -0.02) = 0.05(2 + -1x) 0.01 + (-0.04 + -0.02x) = 0.05(2 + -1x) Combine like terms: 0.01 + -0.04 = -0.03 -0.03 + -0.02x = 0.05(2 + -1x) -0.03 + -0.02x = (2 * 0.05 + -1x * 0.05) -0.03 + -0.02x = (0.1 + -0.05x) Solving -0.03 + -0.02x = 0.1 + -0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.05x' to each side of the equation. -0.03 + -0.02x + 0.05x = 0.1 + -0.05x + 0.05x Combine like terms: -0.02x + 0.05x = 0.03x -0.03 + 0.03x = 0.1 + -0.05x + 0.05x Combine like terms: -0.05x + 0.05x = 0.00 -0.03 + 0.03x = 0.1 + 0.00 -0.03 + 0.03x = 0.1 Add '0.03' to each side of the equation. -0.03 + 0.03 + 0.03x = 0.1 + 0.03 Combine like terms: -0.03 + 0.03 = 0.00 0.00 + 0.03x = 0.1 + 0.03 0.03x = 0.1 + 0.03 Combine like terms: 0.1 + 0.03 = 0.13 0.03x = 0.13 Divide each side by '0.03'. x = 4.333333333 Simplifying x = 4.333333333
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