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Simplifying 6[-1(-7x + -2)] = 252x + 114 Reorder the terms: 6[-1(-2 + -7x)] = 252x + 114 6[(-2 * -1 + -7x * -1)] = 252x + 114 6[(2 + 7x)] = 252x + 114 [2 * 6 + 7x * 6] = 252x + 114 [12 + 42x] = 252x + 114 Reorder the terms: 12 + 42x = 114 + 252x Solving 12 + 42x = 114 + 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. 12 + 42x + -252x = 114 + 252x + -252x Combine like terms: 42x + -252x = -210x 12 + -210x = 114 + 252x + -252x Combine like terms: 252x + -252x = 0 12 + -210x = 114 + 0 12 + -210x = 114 Add '-12' to each side of the equation. 12 + -12 + -210x = 114 + -12 Combine like terms: 12 + -12 = 0 0 + -210x = 114 + -12 -210x = 114 + -12 Combine like terms: 114 + -12 = 102 -210x = 102 Divide each side by '-210'. x = -0.4857142857 Simplifying x = -0.4857142857
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