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Simplifying -2(3x + 8) = -7(x + 6) + -6 Reorder the terms: -2(8 + 3x) = -7(x + 6) + -6 (8 * -2 + 3x * -2) = -7(x + 6) + -6 (-16 + -6x) = -7(x + 6) + -6 Reorder the terms: -16 + -6x = -7(6 + x) + -6 -16 + -6x = (6 * -7 + x * -7) + -6 -16 + -6x = (-42 + -7x) + -6 Reorder the terms: -16 + -6x = -42 + -6 + -7x Combine like terms: -42 + -6 = -48 -16 + -6x = -48 + -7x Solving -16 + -6x = -48 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -16 + -6x + 7x = -48 + -7x + 7x Combine like terms: -6x + 7x = 1x -16 + 1x = -48 + -7x + 7x Combine like terms: -7x + 7x = 0 -16 + 1x = -48 + 0 -16 + 1x = -48 Add '16' to each side of the equation. -16 + 16 + 1x = -48 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = -48 + 16 1x = -48 + 16 Combine like terms: -48 + 16 = -32 1x = -32 Divide each side by '1'. x = -32 Simplifying x = -32
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