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Simplifying 5(x + 1) + 9 = 8x + 6 + -5x Reorder the terms: 5(1 + x) + 9 = 8x + 6 + -5x (1 * 5 + x * 5) + 9 = 8x + 6 + -5x (5 + 5x) + 9 = 8x + 6 + -5x Reorder the terms: 5 + 9 + 5x = 8x + 6 + -5x Combine like terms: 5 + 9 = 14 14 + 5x = 8x + 6 + -5x Reorder the terms: 14 + 5x = 6 + 8x + -5x Combine like terms: 8x + -5x = 3x 14 + 5x = 6 + 3x Solving 14 + 5x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 14 + 5x + -3x = 6 + 3x + -3x Combine like terms: 5x + -3x = 2x 14 + 2x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + 2x = 6 + 0 14 + 2x = 6 Add '-14' to each side of the equation. 14 + -14 + 2x = 6 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 6 + -14 2x = 6 + -14 Combine like terms: 6 + -14 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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