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Simplifying -6(6x + 8) = 8(1 + -4x) Reorder the terms: -6(8 + 6x) = 8(1 + -4x) (8 * -6 + 6x * -6) = 8(1 + -4x) (-48 + -36x) = 8(1 + -4x) -48 + -36x = (1 * 8 + -4x * 8) -48 + -36x = (8 + -32x) Solving -48 + -36x = 8 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. -48 + -36x + 32x = 8 + -32x + 32x Combine like terms: -36x + 32x = -4x -48 + -4x = 8 + -32x + 32x Combine like terms: -32x + 32x = 0 -48 + -4x = 8 + 0 -48 + -4x = 8 Add '48' to each side of the equation. -48 + 48 + -4x = 8 + 48 Combine like terms: -48 + 48 = 0 0 + -4x = 8 + 48 -4x = 8 + 48 Combine like terms: 8 + 48 = 56 -4x = 56 Divide each side by '-4'. x = -14 Simplifying x = -14
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