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Simplifying -6(x + 8) + -2 = -9 + -7x Reorder the terms: -6(8 + x) + -2 = -9 + -7x (8 * -6 + x * -6) + -2 = -9 + -7x (-48 + -6x) + -2 = -9 + -7x Reorder the terms: -48 + -2 + -6x = -9 + -7x Combine like terms: -48 + -2 = -50 -50 + -6x = -9 + -7x Solving -50 + -6x = -9 + -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. -50 + -6x + 7x = -9 + -7x + 7x Combine like terms: -6x + 7x = 1x -50 + 1x = -9 + -7x + 7x Combine like terms: -7x + 7x = 0 -50 + 1x = -9 + 0 -50 + 1x = -9 Add '50' to each side of the equation. -50 + 50 + 1x = -9 + 50 Combine like terms: -50 + 50 = 0 0 + 1x = -9 + 50 1x = -9 + 50 Combine like terms: -9 + 50 = 41 1x = 41 Divide each side by '1'. x = 41 Simplifying x = 41
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