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Simplifying 8 + 5x + -45 = 5 + -7x + 35 Reorder the terms: 8 + -45 + 5x = 5 + -7x + 35 Combine like terms: 8 + -45 = -37 -37 + 5x = 5 + -7x + 35 Reorder the terms: -37 + 5x = 5 + 35 + -7x Combine like terms: 5 + 35 = 40 -37 + 5x = 40 + -7x Solving -37 + 5x = 40 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -37 + 5x + 7x = 40 + -7x + 7x Combine like terms: 5x + 7x = 12x -37 + 12x = 40 + -7x + 7x Combine like terms: -7x + 7x = 0 -37 + 12x = 40 + 0 -37 + 12x = 40 Add '37' to each side of the equation. -37 + 37 + 12x = 40 + 37 Combine like terms: -37 + 37 = 0 0 + 12x = 40 + 37 12x = 40 + 37 Combine like terms: 40 + 37 = 77 12x = 77 Divide each side by '12'. x = 6.416666667 Simplifying x = 6.416666667
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