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Simplifying 6[5 + -1(-7x + -8)] = 336x + 414 Reorder the terms: 6[5 + -1(-8 + -7x)] = 336x + 414 6[5 + (-8 * -1 + -7x * -1)] = 336x + 414 6[5 + (8 + 7x)] = 336x + 414 Combine like terms: 5 + 8 = 13 6[13 + 7x] = 336x + 414 [13 * 6 + 7x * 6] = 336x + 414 [78 + 42x] = 336x + 414 Reorder the terms: 78 + 42x = 414 + 336x Solving 78 + 42x = 414 + 336x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-336x' to each side of the equation. 78 + 42x + -336x = 414 + 336x + -336x Combine like terms: 42x + -336x = -294x 78 + -294x = 414 + 336x + -336x Combine like terms: 336x + -336x = 0 78 + -294x = 414 + 0 78 + -294x = 414 Add '-78' to each side of the equation. 78 + -78 + -294x = 414 + -78 Combine like terms: 78 + -78 = 0 0 + -294x = 414 + -78 -294x = 414 + -78 Combine like terms: 414 + -78 = 336 -294x = 336 Divide each side by '-294'. x = -1.142857143 Simplifying x = -1.142857143
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