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Simplifying 0.03 + -0.02(x + 2) = -0.05(3 + -1x) Reorder the terms: 0.03 + -0.02(2 + x) = -0.05(3 + -1x) 0.03 + (2 * -0.02 + x * -0.02) = -0.05(3 + -1x) 0.03 + (-0.04 + -0.02x) = -0.05(3 + -1x) Combine like terms: 0.03 + -0.04 = -0.01 -0.01 + -0.02x = -0.05(3 + -1x) -0.01 + -0.02x = (3 * -0.05 + -1x * -0.05) -0.01 + -0.02x = (-0.15 + 0.05x) Solving -0.01 + -0.02x = -0.15 + 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. -0.01 + -0.02x + -0.05x = -0.15 + 0.05x + -0.05x Combine like terms: -0.02x + -0.05x = -0.07x -0.01 + -0.07x = -0.15 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.01 + -0.07x = -0.15 + 0.00 -0.01 + -0.07x = -0.15 Add '0.01' to each side of the equation. -0.01 + 0.01 + -0.07x = -0.15 + 0.01 Combine like terms: -0.01 + 0.01 = 0.00 0.00 + -0.07x = -0.15 + 0.01 -0.07x = -0.15 + 0.01 Combine like terms: -0.15 + 0.01 = -0.14 -0.07x = -0.14 Divide each side by '-0.07'. x = 2 Simplifying x = 2
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