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Simplifying 5x + 45 = 9x + 13 Reorder the terms: 45 + 5x = 9x + 13 Reorder the terms: 45 + 5x = 13 + 9x Solving 45 + 5x = 13 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 45 + 5x + -9x = 13 + 9x + -9x Combine like terms: 5x + -9x = -4x 45 + -4x = 13 + 9x + -9x Combine like terms: 9x + -9x = 0 45 + -4x = 13 + 0 45 + -4x = 13 Add '-45' to each side of the equation. 45 + -45 + -4x = 13 + -45 Combine like terms: 45 + -45 = 0 0 + -4x = 13 + -45 -4x = 13 + -45 Combine like terms: 13 + -45 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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