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Simplifying 9x + -14 + 9x + -14 = 5x + 38 + 5x + 38 Reorder the terms: -14 + -14 + 9x + 9x = 5x + 38 + 5x + 38 Combine like terms: -14 + -14 = -28 -28 + 9x + 9x = 5x + 38 + 5x + 38 Combine like terms: 9x + 9x = 18x -28 + 18x = 5x + 38 + 5x + 38 Reorder the terms: -28 + 18x = 38 + 38 + 5x + 5x Combine like terms: 38 + 38 = 76 -28 + 18x = 76 + 5x + 5x Combine like terms: 5x + 5x = 10x -28 + 18x = 76 + 10x Solving -28 + 18x = 76 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -28 + 18x + -10x = 76 + 10x + -10x Combine like terms: 18x + -10x = 8x -28 + 8x = 76 + 10x + -10x Combine like terms: 10x + -10x = 0 -28 + 8x = 76 + 0 -28 + 8x = 76 Add '28' to each side of the equation. -28 + 28 + 8x = 76 + 28 Combine like terms: -28 + 28 = 0 0 + 8x = 76 + 28 8x = 76 + 28 Combine like terms: 76 + 28 = 104 8x = 104 Divide each side by '8'. x = 13 Simplifying x = 13
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