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Simplifying 8x + 14 = 8x + 2 + 5x + 7 Reorder the terms: 14 + 8x = 8x + 2 + 5x + 7 Reorder the terms: 14 + 8x = 2 + 7 + 8x + 5x Combine like terms: 2 + 7 = 9 14 + 8x = 9 + 8x + 5x Combine like terms: 8x + 5x = 13x 14 + 8x = 9 + 13x Solving 14 + 8x = 9 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 14 + 8x + -13x = 9 + 13x + -13x Combine like terms: 8x + -13x = -5x 14 + -5x = 9 + 13x + -13x Combine like terms: 13x + -13x = 0 14 + -5x = 9 + 0 14 + -5x = 9 Add '-14' to each side of the equation. 14 + -14 + -5x = 9 + -14 Combine like terms: 14 + -14 = 0 0 + -5x = 9 + -14 -5x = 9 + -14 Combine like terms: 9 + -14 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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