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Simplifying 8x + -13 + 5x = 5 + 9x + 14 Reorder the terms: -13 + 8x + 5x = 5 + 9x + 14 Combine like terms: 8x + 5x = 13x -13 + 13x = 5 + 9x + 14 Reorder the terms: -13 + 13x = 5 + 14 + 9x Combine like terms: 5 + 14 = 19 -13 + 13x = 19 + 9x Solving -13 + 13x = 19 + 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 + 13x + -9x = 19 + 9x + -9x Combine like terms: 13x + -9x = 4x -13 + 4x = 19 + 9x + -9x Combine like terms: 9x + -9x = 0 -13 + 4x = 19 + 0 -13 + 4x = 19 Add '13' to each side of the equation. -13 + 13 + 4x = 19 + 13 Combine like terms: -13 + 13 = 0 0 + 4x = 19 + 13 4x = 19 + 13 Combine like terms: 19 + 13 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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