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Simplifying 5x + 13 = 9x + -34 Reorder the terms: 13 + 5x = 9x + -34 Reorder the terms: 13 + 5x = -34 + 9x Solving 13 + 5x = -34 + 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 = -34 + 9x + -9x Combine like terms: 5x + -9x = -4x 13 + -4x = -34 + 9x + -9x Combine like terms: 9x + -9x = 0 13 + -4x = -34 + 0 13 + -4x = -34 Add '-13' to each side of the equation. 13 + -13 + -4x = -34 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = -34 + -13 -4x = -34 + -13 Combine like terms: -34 + -13 = -47 -4x = -47 Divide each side by '-4'. x = 11.75 Simplifying x = 11.75
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