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Simplifying 3 + -0.6(x + 2) = 7.4 + -13x Reorder the terms: 3 + -0.6(2 + x) = 7.4 + -13x 3 + (2 * -0.6 + x * -0.6) = 7.4 + -13x 3 + (-1.2 + -0.6x) = 7.4 + -13x Combine like terms: 3 + -1.2 = 1.8 1.8 + -0.6x = 7.4 + -13x Solving 1.8 + -0.6x = 7.4 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 1.8 + -0.6x + 13x = 7.4 + -13x + 13x Combine like terms: -0.6x + 13x = 12.4x 1.8 + 12.4x = 7.4 + -13x + 13x Combine like terms: -13x + 13x = 0 1.8 + 12.4x = 7.4 + 0 1.8 + 12.4x = 7.4 Add '-1.8' to each side of the equation. 1.8 + -1.8 + 12.4x = 7.4 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 12.4x = 7.4 + -1.8 12.4x = 7.4 + -1.8 Combine like terms: 7.4 + -1.8 = 5.6 12.4x = 5.6 Divide each side by '12.4'. x = 0.4516129032 Simplifying x = 0.4516129032
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