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Simplifying 0.28 + -0.03(x + 3) = -0.02(3 + -1x) Reorder the terms: 0.28 + -0.03(3 + x) = -0.02(3 + -1x) 0.28 + (3 * -0.03 + x * -0.03) = -0.02(3 + -1x) 0.28 + (-0.09 + -0.03x) = -0.02(3 + -1x) Combine like terms: 0.28 + -0.09 = 0.19 0.19 + -0.03x = -0.02(3 + -1x) 0.19 + -0.03x = (3 * -0.02 + -1x * -0.02) 0.19 + -0.03x = (-0.06 + 0.02x) Solving 0.19 + -0.03x = -0.06 + 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. 0.19 + -0.03x + -0.02x = -0.06 + 0.02x + -0.02x Combine like terms: -0.03x + -0.02x = -0.05x 0.19 + -0.05x = -0.06 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 0.19 + -0.05x = -0.06 + 0.00 0.19 + -0.05x = -0.06 Add '-0.19' to each side of the equation. 0.19 + -0.19 + -0.05x = -0.06 + -0.19 Combine like terms: 0.19 + -0.19 = 0.00 0.00 + -0.05x = -0.06 + -0.19 -0.05x = -0.06 + -0.19 Combine like terms: -0.06 + -0.19 = -0.25 -0.05x = -0.25 Divide each side by '-0.05'. x = 5 Simplifying x = 5
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