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Simplifying 5x + 45 = 8 + -7x Reorder the terms: 45 + 5x = 8 + -7x Solving 45 + 5x = 8 + -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. 45 + 5x + 7x = 8 + -7x + 7x Combine like terms: 5x + 7x = 12x 45 + 12x = 8 + -7x + 7x Combine like terms: -7x + 7x = 0 45 + 12x = 8 + 0 45 + 12x = 8 Add '-45' to each side of the equation. 45 + -45 + 12x = 8 + -45 Combine like terms: 45 + -45 = 0 0 + 12x = 8 + -45 12x = 8 + -45 Combine like terms: 8 + -45 = -37 12x = -37 Divide each side by '12'. x = -3.083333333 Simplifying x = -3.083333333
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