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Simplifying 4 + 7x + -1(3x + -2) = 8x + -1(6x + 20) + -2 Reorder the terms: 4 + 7x + -1(-2 + 3x) = 8x + -1(6x + 20) + -2 4 + 7x + (-2 * -1 + 3x * -1) = 8x + -1(6x + 20) + -2 4 + 7x + (2 + -3x) = 8x + -1(6x + 20) + -2 Reorder the terms: 4 + 2 + 7x + -3x = 8x + -1(6x + 20) + -2 Combine like terms: 4 + 2 = 6 6 + 7x + -3x = 8x + -1(6x + 20) + -2 Combine like terms: 7x + -3x = 4x 6 + 4x = 8x + -1(6x + 20) + -2 Reorder the terms: 6 + 4x = 8x + -1(20 + 6x) + -2 6 + 4x = 8x + (20 * -1 + 6x * -1) + -2 6 + 4x = 8x + (-20 + -6x) + -2 Reorder the terms: 6 + 4x = -20 + -2 + 8x + -6x Combine like terms: -20 + -2 = -22 6 + 4x = -22 + 8x + -6x Combine like terms: 8x + -6x = 2x 6 + 4x = -22 + 2x Solving 6 + 4x = -22 + 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. 6 + 4x + -2x = -22 + 2x + -2x Combine like terms: 4x + -2x = 2x 6 + 2x = -22 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 2x = -22 + 0 6 + 2x = -22 Add '-6' to each side of the equation. 6 + -6 + 2x = -22 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -22 + -6 2x = -22 + -6 Combine like terms: -22 + -6 = -28 2x = -28 Divide each side by '2'. x = -14 Simplifying x = -14
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