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Simplifying 0.4x + 0.3(10) = 0.02(x + 10) Multiply 0.3 * 10 0.4x + 3 = 0.02(x + 10) Reorder the terms: 3 + 0.4x = 0.02(x + 10) Reorder the terms: 3 + 0.4x = 0.02(10 + x) 3 + 0.4x = (10 * 0.02 + x * 0.02) 3 + 0.4x = (0.2 + 0.02x) Solving 3 + 0.4x = 0.2 + 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. 3 + 0.4x + -0.02x = 0.2 + 0.02x + -0.02x Combine like terms: 0.4x + -0.02x = 0.38x 3 + 0.38x = 0.2 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 3 + 0.38x = 0.2 + 0.00 3 + 0.38x = 0.2 Add '-3' to each side of the equation. 3 + -3 + 0.38x = 0.2 + -3 Combine like terms: 3 + -3 = 0 0 + 0.38x = 0.2 + -3 0.38x = 0.2 + -3 Combine like terms: 0.2 + -3 = -2.8 0.38x = -2.8 Divide each side by '0.38'. x = -7.368421053 Simplifying x = -7.368421053
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