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Simplifying -8(x + 6) = 6 + x Reorder the terms: -8(6 + x) = 6 + x (6 * -8 + x * -8) = 6 + x (-48 + -8x) = 6 + x Solving -48 + -8x = 6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -48 + -8x + -1x = 6 + x + -1x Combine like terms: -8x + -1x = -9x -48 + -9x = 6 + x + -1x Combine like terms: x + -1x = 0 -48 + -9x = 6 + 0 -48 + -9x = 6 Add '48' to each side of the equation. -48 + 48 + -9x = 6 + 48 Combine like terms: -48 + 48 = 0 0 + -9x = 6 + 48 -9x = 6 + 48 Combine like terms: 6 + 48 = 54 -9x = 54 Divide each side by '-9'. x = -6 Simplifying x = -6
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