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Simplifying 6[7 + -1(-3x + -7)] = 162x + 420 Reorder the terms: 6[7 + -1(-7 + -3x)] = 162x + 420 6[7 + (-7 * -1 + -3x * -1)] = 162x + 420 6[7 + (7 + 3x)] = 162x + 420 Combine like terms: 7 + 7 = 14 6[14 + 3x] = 162x + 420 [14 * 6 + 3x * 6] = 162x + 420 [84 + 18x] = 162x + 420 Reorder the terms: 84 + 18x = 420 + 162x Solving 84 + 18x = 420 + 162x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-162x' to each side of the equation. 84 + 18x + -162x = 420 + 162x + -162x Combine like terms: 18x + -162x = -144x 84 + -144x = 420 + 162x + -162x Combine like terms: 162x + -162x = 0 84 + -144x = 420 + 0 84 + -144x = 420 Add '-84' to each side of the equation. 84 + -84 + -144x = 420 + -84 Combine like terms: 84 + -84 = 0 0 + -144x = 420 + -84 -144x = 420 + -84 Combine like terms: 420 + -84 = 336 -144x = 336 Divide each side by '-144'. x = -2.333333333 Simplifying x = -2.333333333
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