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Simplifying 9x + 45 = 8x + 40 Reorder the terms: 45 + 9x = 8x + 40 Reorder the terms: 45 + 9x = 40 + 8x Solving 45 + 9x = 40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 45 + 9x + -8x = 40 + 8x + -8x Combine like terms: 9x + -8x = 1x 45 + 1x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 45 + 1x = 40 + 0 45 + 1x = 40 Add '-45' to each side of the equation. 45 + -45 + 1x = 40 + -45 Combine like terms: 45 + -45 = 0 0 + 1x = 40 + -45 1x = 40 + -45 Combine like terms: 40 + -45 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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