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Simplifying 7[4 + -1(3x + -8)] = 42x + 140 Reorder the terms: 7[4 + -1(-8 + 3x)] = 42x + 140 7[4 + (-8 * -1 + 3x * -1)] = 42x + 140 7[4 + (8 + -3x)] = 42x + 140 Combine like terms: 4 + 8 = 12 7[12 + -3x] = 42x + 140 [12 * 7 + -3x * 7] = 42x + 140 [84 + -21x] = 42x + 140 Reorder the terms: 84 + -21x = 140 + 42x Solving 84 + -21x = 140 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 84 + -21x + -42x = 140 + 42x + -42x Combine like terms: -21x + -42x = -63x 84 + -63x = 140 + 42x + -42x Combine like terms: 42x + -42x = 0 84 + -63x = 140 + 0 84 + -63x = 140 Add '-84' to each side of the equation. 84 + -84 + -63x = 140 + -84 Combine like terms: 84 + -84 = 0 0 + -63x = 140 + -84 -63x = 140 + -84 Combine like terms: 140 + -84 = 56 -63x = 56 Divide each side by '-63'. x = -0.8888888889 Simplifying x = -0.8888888889
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