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Simplifying 8x + -13 = 38 + -9x Reorder the terms: -13 + 8x = 38 + -9x Solving -13 + 8x = 38 + -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 + 8x + 9x = 38 + -9x + 9x Combine like terms: 8x + 9x = 17x -13 + 17x = 38 + -9x + 9x Combine like terms: -9x + 9x = 0 -13 + 17x = 38 + 0 -13 + 17x = 38 Add '13' to each side of the equation. -13 + 13 + 17x = 38 + 13 Combine like terms: -13 + 13 = 0 0 + 17x = 38 + 13 17x = 38 + 13 Combine like terms: 38 + 13 = 51 17x = 51 Divide each side by '17'. x = 3 Simplifying x = 3
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