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Simplifying 8(1 + -4x) = -6(8 + 4x) (1 * 8 + -4x * 8) = -6(8 + 4x) (8 + -32x) = -6(8 + 4x) 8 + -32x = (8 * -6 + 4x * -6) 8 + -32x = (-48 + -24x) Solving 8 + -32x = -48 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 8 + -32x + 24x = -48 + -24x + 24x Combine like terms: -32x + 24x = -8x 8 + -8x = -48 + -24x + 24x Combine like terms: -24x + 24x = 0 8 + -8x = -48 + 0 8 + -8x = -48 Add '-8' to each side of the equation. 8 + -8 + -8x = -48 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = -48 + -8 -8x = -48 + -8 Combine like terms: -48 + -8 = -56 -8x = -56 Divide each side by '-8'. x = 7 Simplifying x = 7
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