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Simplifying 0.11 + -0.03(x + 1) = -0.02(1 + -1x) Reorder the terms: 0.11 + -0.03(1 + x) = -0.02(1 + -1x) 0.11 + (1 * -0.03 + x * -0.03) = -0.02(1 + -1x) 0.11 + (-0.03 + -0.03x) = -0.02(1 + -1x) Combine like terms: 0.11 + -0.03 = 0.08 0.08 + -0.03x = -0.02(1 + -1x) 0.08 + -0.03x = (1 * -0.02 + -1x * -0.02) 0.08 + -0.03x = (-0.02 + 0.02x) Solving 0.08 + -0.03x = -0.02 + 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. 0.08 + -0.03x + -0.02x = -0.02 + 0.02x + -0.02x Combine like terms: -0.03x + -0.02x = -0.05x 0.08 + -0.05x = -0.02 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 0.08 + -0.05x = -0.02 + 0.00 0.08 + -0.05x = -0.02 Add '-0.08' to each side of the equation. 0.08 + -0.08 + -0.05x = -0.02 + -0.08 Combine like terms: 0.08 + -0.08 = 0.00 0.00 + -0.05x = -0.02 + -0.08 -0.05x = -0.02 + -0.08 Combine like terms: -0.02 + -0.08 = -0.1 -0.05x = -0.1 Divide each side by '-0.05'. x = 2 Simplifying x = 2
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