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Simplifying 9(x + 8) + 6 = 4(x + 7) Reorder the terms: 9(8 + x) + 6 = 4(x + 7) (8 * 9 + x * 9) + 6 = 4(x + 7) (72 + 9x) + 6 = 4(x + 7) Reorder the terms: 72 + 6 + 9x = 4(x + 7) Combine like terms: 72 + 6 = 78 78 + 9x = 4(x + 7) Reorder the terms: 78 + 9x = 4(7 + x) 78 + 9x = (7 * 4 + x * 4) 78 + 9x = (28 + 4x) Solving 78 + 9x = 28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 78 + 9x + -4x = 28 + 4x + -4x Combine like terms: 9x + -4x = 5x 78 + 5x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 78 + 5x = 28 + 0 78 + 5x = 28 Add '-78' to each side of the equation. 78 + -78 + 5x = 28 + -78 Combine like terms: 78 + -78 = 0 0 + 5x = 28 + -78 5x = 28 + -78 Combine like terms: 28 + -78 = -50 5x = -50 Divide each side by '5'. x = -10 Simplifying x = -10
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