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Simplifying -8(x + 6) = -7x + -6 Reorder the terms: -8(6 + x) = -7x + -6 (6 * -8 + x * -8) = -7x + -6 (-48 + -8x) = -7x + -6 Reorder the terms: -48 + -8x = -6 + -7x Solving -48 + -8x = -6 + -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. -48 + -8x + 7x = -6 + -7x + 7x Combine like terms: -8x + 7x = -1x -48 + -1x = -6 + -7x + 7x Combine like terms: -7x + 7x = 0 -48 + -1x = -6 + 0 -48 + -1x = -6 Add '48' to each side of the equation. -48 + 48 + -1x = -6 + 48 Combine like terms: -48 + 48 = 0 0 + -1x = -6 + 48 -1x = -6 + 48 Combine like terms: -6 + 48 = 42 -1x = 42 Divide each side by '-1'. x = -42 Simplifying x = -42
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