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Simplifying 0.18 + -0.02(x + 1) = -0.03(3 + -1x) Reorder the terms: 0.18 + -0.02(1 + x) = -0.03(3 + -1x) 0.18 + (1 * -0.02 + x * -0.02) = -0.03(3 + -1x) 0.18 + (-0.02 + -0.02x) = -0.03(3 + -1x) Combine like terms: 0.18 + -0.02 = 0.16 0.16 + -0.02x = -0.03(3 + -1x) 0.16 + -0.02x = (3 * -0.03 + -1x * -0.03) 0.16 + -0.02x = (-0.09 + 0.03x) Solving 0.16 + -0.02x = -0.09 + 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. 0.16 + -0.02x + -0.03x = -0.09 + 0.03x + -0.03x Combine like terms: -0.02x + -0.03x = -0.05x 0.16 + -0.05x = -0.09 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 0.16 + -0.05x = -0.09 + 0.00 0.16 + -0.05x = -0.09 Add '-0.16' to each side of the equation. 0.16 + -0.16 + -0.05x = -0.09 + -0.16 Combine like terms: 0.16 + -0.16 = 0.00 0.00 + -0.05x = -0.09 + -0.16 -0.05x = -0.09 + -0.16 Combine like terms: -0.09 + -0.16 = -0.25 -0.05x = -0.25 Divide each side by '-0.05'. x = 5 Simplifying x = 5
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