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Simplifying 0.03(x + 7) = 0.02(5 + -1x) + 0.03 Reorder the terms: 0.03(7 + x) = 0.02(5 + -1x) + 0.03 (7 * 0.03 + x * 0.03) = 0.02(5 + -1x) + 0.03 (0.21 + 0.03x) = 0.02(5 + -1x) + 0.03 0.21 + 0.03x = (5 * 0.02 + -1x * 0.02) + 0.03 0.21 + 0.03x = (0.1 + -0.02x) + 0.03 Reorder the terms: 0.21 + 0.03x = 0.1 + 0.03 + -0.02x Combine like terms: 0.1 + 0.03 = 0.13 0.21 + 0.03x = 0.13 + -0.02x Solving 0.21 + 0.03x = 0.13 + -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. 0.21 + 0.03x + 0.02x = 0.13 + -0.02x + 0.02x Combine like terms: 0.03x + 0.02x = 0.05x 0.21 + 0.05x = 0.13 + -0.02x + 0.02x Combine like terms: -0.02x + 0.02x = 0.00 0.21 + 0.05x = 0.13 + 0.00 0.21 + 0.05x = 0.13 Add '-0.21' to each side of the equation. 0.21 + -0.21 + 0.05x = 0.13 + -0.21 Combine like terms: 0.21 + -0.21 = 0.00 0.00 + 0.05x = 0.13 + -0.21 0.05x = 0.13 + -0.21 Combine like terms: 0.13 + -0.21 = -0.08 0.05x = -0.08 Divide each side by '0.05'. x = -1.6 Simplifying x = -1.6
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