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Simplifying 9(x + 8) + 6 = 8(x + 6) + 4 Reorder the terms: 9(8 + x) + 6 = 8(x + 6) + 4 (8 * 9 + x * 9) + 6 = 8(x + 6) + 4 (72 + 9x) + 6 = 8(x + 6) + 4 Reorder the terms: 72 + 6 + 9x = 8(x + 6) + 4 Combine like terms: 72 + 6 = 78 78 + 9x = 8(x + 6) + 4 Reorder the terms: 78 + 9x = 8(6 + x) + 4 78 + 9x = (6 * 8 + x * 8) + 4 78 + 9x = (48 + 8x) + 4 Reorder the terms: 78 + 9x = 48 + 4 + 8x Combine like terms: 48 + 4 = 52 78 + 9x = 52 + 8x Solving 78 + 9x = 52 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 78 + 9x + -8x = 52 + 8x + -8x Combine like terms: 9x + -8x = 1x 78 + 1x = 52 + 8x + -8x Combine like terms: 8x + -8x = 0 78 + 1x = 52 + 0 78 + 1x = 52 Add '-78' to each side of the equation. 78 + -78 + 1x = 52 + -78 Combine like terms: 78 + -78 = 0 0 + 1x = 52 + -78 1x = 52 + -78 Combine like terms: 52 + -78 = -26 1x = -26 Divide each side by '1'. x = -26 Simplifying x = -26
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