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Simplifying 5x + -13 = 9x + 7 Reorder the terms: -13 + 5x = 9x + 7 Reorder the terms: -13 + 5x = 7 + 9x Solving -13 + 5x = 7 + 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. -13 + 5x + -9x = 7 + 9x + -9x Combine like terms: 5x + -9x = -4x -13 + -4x = 7 + 9x + -9x Combine like terms: 9x + -9x = 0 -13 + -4x = 7 + 0 -13 + -4x = 7 Add '13' to each side of the equation. -13 + 13 + -4x = 7 + 13 Combine like terms: -13 + 13 = 0 0 + -4x = 7 + 13 -4x = 7 + 13 Combine like terms: 7 + 13 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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