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Simplifying 1.3 + -0.2(6 + -3x) = 0.1(0.2x + 3) 1.3 + (6 * -0.2 + -3x * -0.2) = 0.1(0.2x + 3) 1.3 + (-1.2 + 0.6x) = 0.1(0.2x + 3) Combine like terms: 1.3 + -1.2 = 0.1 0.1 + 0.6x = 0.1(0.2x + 3) Reorder the terms: 0.1 + 0.6x = 0.1(3 + 0.2x) 0.1 + 0.6x = (3 * 0.1 + 0.2x * 0.1) 0.1 + 0.6x = (0.3 + 0.02x) Solving 0.1 + 0.6x = 0.3 + 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. 0.1 + 0.6x + -0.02x = 0.3 + 0.02x + -0.02x Combine like terms: 0.6x + -0.02x = 0.58x 0.1 + 0.58x = 0.3 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 0.1 + 0.58x = 0.3 + 0.00 0.1 + 0.58x = 0.3 Add '-0.1' to each side of the equation. 0.1 + -0.1 + 0.58x = 0.3 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.58x = 0.3 + -0.1 0.58x = 0.3 + -0.1 Combine like terms: 0.3 + -0.1 = 0.2 0.58x = 0.2 Divide each side by '0.58'. x = 0.3448275862 Simplifying x = 0.3448275862
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