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Simplifying 4x + 13 = -52 + 9x Reorder the terms: 13 + 4x = -52 + 9x Solving 13 + 4x = -52 + 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 + 4x + -9x = -52 + 9x + -9x Combine like terms: 4x + -9x = -5x 13 + -5x = -52 + 9x + -9x Combine like terms: 9x + -9x = 0 13 + -5x = -52 + 0 13 + -5x = -52 Add '-13' to each side of the equation. 13 + -13 + -5x = -52 + -13 Combine like terms: 13 + -13 = 0 0 + -5x = -52 + -13 -5x = -52 + -13 Combine like terms: -52 + -13 = -65 -5x = -65 Divide each side by '-5'. x = 13 Simplifying x = 13
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