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Simplifying 3x + -7(2x + 8) = 6 + -8x + 2 Reorder the terms: 3x + -7(8 + 2x) = 6 + -8x + 2 3x + (8 * -7 + 2x * -7) = 6 + -8x + 2 3x + (-56 + -14x) = 6 + -8x + 2 Reorder the terms: -56 + 3x + -14x = 6 + -8x + 2 Combine like terms: 3x + -14x = -11x -56 + -11x = 6 + -8x + 2 Reorder the terms: -56 + -11x = 6 + 2 + -8x Combine like terms: 6 + 2 = 8 -56 + -11x = 8 + -8x Solving -56 + -11x = 8 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -56 + -11x + 8x = 8 + -8x + 8x Combine like terms: -11x + 8x = -3x -56 + -3x = 8 + -8x + 8x Combine like terms: -8x + 8x = 0 -56 + -3x = 8 + 0 -56 + -3x = 8 Add '56' to each side of the equation. -56 + 56 + -3x = 8 + 56 Combine like terms: -56 + 56 = 0 0 + -3x = 8 + 56 -3x = 8 + 56 Combine like terms: 8 + 56 = 64 -3x = 64 Divide each side by '-3'. x = -21.33333333 Simplifying x = -21.33333333
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