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Simplifying 9[7 + 5(7 + -1x) + 2x] = 21 + -2x 9[7 + (7 * 5 + -1x * 5) + 2x] = 21 + -2x 9[7 + (35 + -5x) + 2x] = 21 + -2x Combine like terms: 7 + 35 = 42 9[42 + -5x + 2x] = 21 + -2x Combine like terms: -5x + 2x = -3x 9[42 + -3x] = 21 + -2x [42 * 9 + -3x * 9] = 21 + -2x [378 + -27x] = 21 + -2x Solving 378 + -27x = 21 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 378 + -27x + 2x = 21 + -2x + 2x Combine like terms: -27x + 2x = -25x 378 + -25x = 21 + -2x + 2x Combine like terms: -2x + 2x = 0 378 + -25x = 21 + 0 378 + -25x = 21 Add '-378' to each side of the equation. 378 + -378 + -25x = 21 + -378 Combine like terms: 378 + -378 = 0 0 + -25x = 21 + -378 -25x = 21 + -378 Combine like terms: 21 + -378 = -357 -25x = -357 Divide each side by '-25'. x = 14.28 Simplifying x = 14.28
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