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Simplifying 13x + 9 = 8x + 6 + 4x + 14 Reorder the terms: 9 + 13x = 8x + 6 + 4x + 14 Reorder the terms: 9 + 13x = 6 + 14 + 8x + 4x Combine like terms: 6 + 14 = 20 9 + 13x = 20 + 8x + 4x Combine like terms: 8x + 4x = 12x 9 + 13x = 20 + 12x Solving 9 + 13x = 20 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 9 + 13x + -12x = 20 + 12x + -12x Combine like terms: 13x + -12x = 1x 9 + 1x = 20 + 12x + -12x Combine like terms: 12x + -12x = 0 9 + 1x = 20 + 0 9 + 1x = 20 Add '-9' to each side of the equation. 9 + -9 + 1x = 20 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 20 + -9 1x = 20 + -9 Combine like terms: 20 + -9 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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