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Simplifying 8 + -1[2 + -1(7x + -2)] = 212x + 162 Reorder the terms: 8 + -1[2 + -1(-2 + 7x)] = 212x + 162 8 + -1[2 + (-2 * -1 + 7x * -1)] = 212x + 162 8 + -1[2 + (2 + -7x)] = 212x + 162 Combine like terms: 2 + 2 = 4 8 + -1[4 + -7x] = 212x + 162 8 + [4 * -1 + -7x * -1] = 212x + 162 8 + [-4 + 7x] = 212x + 162 Combine like terms: 8 + -4 = 4 4 + 7x = 212x + 162 Reorder the terms: 4 + 7x = 162 + 212x Solving 4 + 7x = 162 + 212x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-212x' to each side of the equation. 4 + 7x + -212x = 162 + 212x + -212x Combine like terms: 7x + -212x = -205x 4 + -205x = 162 + 212x + -212x Combine like terms: 212x + -212x = 0 4 + -205x = 162 + 0 4 + -205x = 162 Add '-4' to each side of the equation. 4 + -4 + -205x = 162 + -4 Combine like terms: 4 + -4 = 0 0 + -205x = 162 + -4 -205x = 162 + -4 Combine like terms: 162 + -4 = 158 -205x = 158 Divide each side by '-205'. x = -0.7707317073 Simplifying x = -0.7707317073
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