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Simplifying (42 + -0.2x) = 30x + -167.20 Remove parenthesis around (42 + -0.2x) 42 + -0.2x = 30x + -167.20 Reorder the terms: 42 + -0.2x = -167.20 + 30x Solving 42 + -0.2x = -167.20 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 42 + -0.2x + -30x = -167.20 + 30x + -30x Combine like terms: -0.2x + -30x = -30.2x 42 + -30.2x = -167.20 + 30x + -30x Combine like terms: 30x + -30x = 0 42 + -30.2x = -167.20 + 0 42 + -30.2x = -167.20 Add '-42' to each side of the equation. 42 + -42 + -30.2x = -167.20 + -42 Combine like terms: 42 + -42 = 0 0 + -30.2x = -167.20 + -42 -30.2x = -167.20 + -42 Combine like terms: -167.20 + -42 = -209.2 -30.2x = -209.2 Divide each side by '-30.2'. x = 6.927152318 Simplifying x = 6.927152318
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