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Simplifying 3.7x + 42 = -5.2x + 9 Reorder the terms: 42 + 3.7x = -5.2x + 9 Reorder the terms: 42 + 3.7x = 9 + -5.2x Solving 42 + 3.7x = 9 + -5.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.2x' to each side of the equation. 42 + 3.7x + 5.2x = 9 + -5.2x + 5.2x Combine like terms: 3.7x + 5.2x = 8.9x 42 + 8.9x = 9 + -5.2x + 5.2x Combine like terms: -5.2x + 5.2x = 0.0 42 + 8.9x = 9 + 0.0 42 + 8.9x = 9 Add '-42' to each side of the equation. 42 + -42 + 8.9x = 9 + -42 Combine like terms: 42 + -42 = 0 0 + 8.9x = 9 + -42 8.9x = 9 + -42 Combine like terms: 9 + -42 = -33 8.9x = -33 Divide each side by '8.9'. x = -3.707865169 Simplifying x = -3.707865169
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