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Simplifying 4x + 45 = 8x + 9 Reorder the terms: 45 + 4x = 8x + 9 Reorder the terms: 45 + 4x = 9 + 8x Solving 45 + 4x = 9 + 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 + 4x + -8x = 9 + 8x + -8x Combine like terms: 4x + -8x = -4x 45 + -4x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 45 + -4x = 9 + 0 45 + -4x = 9 Add '-45' to each side of the equation. 45 + -45 + -4x = 9 + -45 Combine like terms: 45 + -45 = 0 0 + -4x = 9 + -45 -4x = 9 + -45 Combine like terms: 9 + -45 = -36 -4x = -36 Divide each side by '-4'. x = 9 Simplifying x = 9
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