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Simplifying 0.06 + -0.02(x + 2) = -0.03(1 + -1x) Reorder the terms: 0.06 + -0.02(2 + x) = -0.03(1 + -1x) 0.06 + (2 * -0.02 + x * -0.02) = -0.03(1 + -1x) 0.06 + (-0.04 + -0.02x) = -0.03(1 + -1x) Combine like terms: 0.06 + -0.04 = 0.02 0.02 + -0.02x = -0.03(1 + -1x) 0.02 + -0.02x = (1 * -0.03 + -1x * -0.03) 0.02 + -0.02x = (-0.03 + 0.03x) Solving 0.02 + -0.02x = -0.03 + 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 + -0.02x + -0.03x = -0.03 + 0.03x + -0.03x Combine like terms: -0.02x + -0.03x = -0.05x 0.02 + -0.05x = -0.03 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 0.02 + -0.05x = -0.03 + 0.00 0.02 + -0.05x = -0.03 Add '-0.02' to each side of the equation. 0.02 + -0.02 + -0.05x = -0.03 + -0.02 Combine like terms: 0.02 + -0.02 = 0.00 0.00 + -0.05x = -0.03 + -0.02 -0.05x = -0.03 + -0.02 Combine like terms: -0.03 + -0.02 = -0.05 -0.05x = -0.05 Divide each side by '-0.05'. x = 1 Simplifying x = 1
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