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Simplifying 7[x + -1(4x + -7)] = 5 + -2x Reorder the terms: 7[x + -1(-7 + 4x)] = 5 + -2x 7[x + (-7 * -1 + 4x * -1)] = 5 + -2x 7[x + (7 + -4x)] = 5 + -2x Reorder the terms: 7[7 + x + -4x] = 5 + -2x Combine like terms: x + -4x = -3x 7[7 + -3x] = 5 + -2x [7 * 7 + -3x * 7] = 5 + -2x [49 + -21x] = 5 + -2x Solving 49 + -21x = 5 + -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 + -21x + 2x = 5 + -2x + 2x Combine like terms: -21x + 2x = -19x 49 + -19x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 49 + -19x = 5 + 0 49 + -19x = 5 Add '-49' to each side of the equation. 49 + -49 + -19x = 5 + -49 Combine like terms: 49 + -49 = 0 0 + -19x = 5 + -49 -19x = 5 + -49 Combine like terms: 5 + -49 = -44 -19x = -44 Divide each side by '-19'. x = 2.315789474 Simplifying x = 2.315789474
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