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Simplifying 7[x + -1(6x + -7)] = 3 + -2x Reorder the terms: 7[x + -1(-7 + 6x)] = 3 + -2x 7[x + (-7 * -1 + 6x * -1)] = 3 + -2x 7[x + (7 + -6x)] = 3 + -2x Reorder the terms: 7[7 + x + -6x] = 3 + -2x Combine like terms: x + -6x = -5x 7[7 + -5x] = 3 + -2x [7 * 7 + -5x * 7] = 3 + -2x [49 + -35x] = 3 + -2x Solving 49 + -35x = 3 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 49 + -35x + 2x = 3 + -2x + 2x Combine like terms: -35x + 2x = -33x 49 + -33x = 3 + -2x + 2x Combine like terms: -2x + 2x = 0 49 + -33x = 3 + 0 49 + -33x = 3 Add '-49' to each side of the equation. 49 + -49 + -33x = 3 + -49 Combine like terms: 49 + -49 = 0 0 + -33x = 3 + -49 -33x = 3 + -49 Combine like terms: 3 + -49 = -46 -33x = -46 Divide each side by '-33'. x = 1.393939394 Simplifying x = 1.393939394
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