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Simplifying -42 = 3.5(3 + -5x) -42 = (3 * 3.5 + -5x * 3.5) -42 = (10.5 + -17.5x) Solving -42 = 10.5 + -17.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17.5x' to each side of the equation. -42 + 17.5x = 10.5 + -17.5x + 17.5x Combine like terms: -17.5x + 17.5x = 0.0 -42 + 17.5x = 10.5 + 0.0 -42 + 17.5x = 10.5 Add '42' to each side of the equation. -42 + 42 + 17.5x = 10.5 + 42 Combine like terms: -42 + 42 = 0 0 + 17.5x = 10.5 + 42 17.5x = 10.5 + 42 Combine like terms: 10.5 + 42 = 52.5 17.5x = 52.5 Divide each side by '17.5'. x = 3 Simplifying x = 3
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