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Simplifying 7[6 + 8(6 + -1x) + 5x] = 9 + -5x 7[6 + (6 * 8 + -1x * 8) + 5x] = 9 + -5x 7[6 + (48 + -8x) + 5x] = 9 + -5x Combine like terms: 6 + 48 = 54 7[54 + -8x + 5x] = 9 + -5x Combine like terms: -8x + 5x = -3x 7[54 + -3x] = 9 + -5x [54 * 7 + -3x * 7] = 9 + -5x [378 + -21x] = 9 + -5x Solving 378 + -21x = 9 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 378 + -21x + 5x = 9 + -5x + 5x Combine like terms: -21x + 5x = -16x 378 + -16x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 378 + -16x = 9 + 0 378 + -16x = 9 Add '-378' to each side of the equation. 378 + -378 + -16x = 9 + -378 Combine like terms: 378 + -378 = 0 0 + -16x = 9 + -378 -16x = 9 + -378 Combine like terms: 9 + -378 = -369 -16x = -369 Divide each side by '-16'. x = 23.0625 Simplifying x = 23.0625
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