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Simplifying 6x + 45 = 5x + 8 Reorder the terms: 45 + 6x = 5x + 8 Reorder the terms: 45 + 6x = 8 + 5x Solving 45 + 6x = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 45 + 6x + -5x = 8 + 5x + -5x Combine like terms: 6x + -5x = 1x 45 + 1x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 45 + 1x = 8 + 0 45 + 1x = 8 Add '-45' to each side of the equation. 45 + -45 + 1x = 8 + -45 Combine like terms: 45 + -45 = 0 0 + 1x = 8 + -45 1x = 8 + -45 Combine like terms: 8 + -45 = -37 1x = -37 Divide each side by '1'. x = -37 Simplifying x = -37
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