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Simplifying -6(4x + 8) = 27 + x Reorder the terms: -6(8 + 4x) = 27 + x (8 * -6 + 4x * -6) = 27 + x (-48 + -24x) = 27 + x Solving -48 + -24x = 27 + 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 + -24x + -1x = 27 + x + -1x Combine like terms: -24x + -1x = -25x -48 + -25x = 27 + x + -1x Combine like terms: x + -1x = 0 -48 + -25x = 27 + 0 -48 + -25x = 27 Add '48' to each side of the equation. -48 + 48 + -25x = 27 + 48 Combine like terms: -48 + 48 = 0 0 + -25x = 27 + 48 -25x = 27 + 48 Combine like terms: 27 + 48 = 75 -25x = 75 Divide each side by '-25'. x = -3 Simplifying x = -3
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