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Simplifying 35.5 = 35x + -37(1 + -1x) 35.5 = 35x + (1 * -37 + -1x * -37) 35.5 = 35x + (-37 + 37x) Reorder the terms: 35.5 = -37 + 35x + 37x Combine like terms: 35x + 37x = 72x 35.5 = -37 + 72x Solving 35.5 = -37 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. 35.5 + -72x = -37 + 72x + -72x Combine like terms: 72x + -72x = 0 35.5 + -72x = -37 + 0 35.5 + -72x = -37 Add '-35.5' to each side of the equation. 35.5 + -35.5 + -72x = -37 + -35.5 Combine like terms: 35.5 + -35.5 = 0.0 0.0 + -72x = -37 + -35.5 -72x = -37 + -35.5 Combine like terms: -37 + -35.5 = -72.5 -72x = -72.5 Divide each side by '-72'. x = 1.006944444 Simplifying x = 1.006944444
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