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Simplifying -6x + -7(x + 8) = -3(4x + 2) Reorder the terms: -6x + -7(8 + x) = -3(4x + 2) -6x + (8 * -7 + x * -7) = -3(4x + 2) -6x + (-56 + -7x) = -3(4x + 2) Reorder the terms: -56 + -6x + -7x = -3(4x + 2) Combine like terms: -6x + -7x = -13x -56 + -13x = -3(4x + 2) Reorder the terms: -56 + -13x = -3(2 + 4x) -56 + -13x = (2 * -3 + 4x * -3) -56 + -13x = (-6 + -12x) Solving -56 + -13x = -6 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -56 + -13x + 12x = -6 + -12x + 12x Combine like terms: -13x + 12x = -1x -56 + -1x = -6 + -12x + 12x Combine like terms: -12x + 12x = 0 -56 + -1x = -6 + 0 -56 + -1x = -6 Add '56' to each side of the equation. -56 + 56 + -1x = -6 + 56 Combine like terms: -56 + 56 = 0 0 + -1x = -6 + 56 -1x = -6 + 56 Combine like terms: -6 + 56 = 50 -1x = 50 Divide each side by '-1'. x = -50 Simplifying x = -50
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