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Simplifying 6[7 + -1(-7x + -1)] = 252x + 78 Reorder the terms: 6[7 + -1(-1 + -7x)] = 252x + 78 6[7 + (-1 * -1 + -7x * -1)] = 252x + 78 6[7 + (1 + 7x)] = 252x + 78 Combine like terms: 7 + 1 = 8 6[8 + 7x] = 252x + 78 [8 * 6 + 7x * 6] = 252x + 78 [48 + 42x] = 252x + 78 Reorder the terms: 48 + 42x = 78 + 252x Solving 48 + 42x = 78 + 252x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-252x' to each side of the equation. 48 + 42x + -252x = 78 + 252x + -252x Combine like terms: 42x + -252x = -210x 48 + -210x = 78 + 252x + -252x Combine like terms: 252x + -252x = 0 48 + -210x = 78 + 0 48 + -210x = 78 Add '-48' to each side of the equation. 48 + -48 + -210x = 78 + -48 Combine like terms: 48 + -48 = 0 0 + -210x = 78 + -48 -210x = 78 + -48 Combine like terms: 78 + -48 = 30 -210x = 30 Divide each side by '-210'. x = -0.1428571429 Simplifying x = -0.1428571429
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