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Simplifying 3[7 + -1(7x + -3)] = 84x + 57 Reorder the terms: 3[7 + -1(-3 + 7x)] = 84x + 57 3[7 + (-3 * -1 + 7x * -1)] = 84x + 57 3[7 + (3 + -7x)] = 84x + 57 Combine like terms: 7 + 3 = 10 3[10 + -7x] = 84x + 57 [10 * 3 + -7x * 3] = 84x + 57 [30 + -21x] = 84x + 57 Reorder the terms: 30 + -21x = 57 + 84x Solving 30 + -21x = 57 + 84x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84x' to each side of the equation. 30 + -21x + -84x = 57 + 84x + -84x Combine like terms: -21x + -84x = -105x 30 + -105x = 57 + 84x + -84x Combine like terms: 84x + -84x = 0 30 + -105x = 57 + 0 30 + -105x = 57 Add '-30' to each side of the equation. 30 + -30 + -105x = 57 + -30 Combine like terms: 30 + -30 = 0 0 + -105x = 57 + -30 -105x = 57 + -30 Combine like terms: 57 + -30 = 27 -105x = 27 Divide each side by '-105'. x = -0.2571428571 Simplifying x = -0.2571428571
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