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Simplifying 6(2x + 8) = 4(x + -6) Reorder the terms: 6(8 + 2x) = 4(x + -6) (8 * 6 + 2x * 6) = 4(x + -6) (48 + 12x) = 4(x + -6) Reorder the terms: 48 + 12x = 4(-6 + x) 48 + 12x = (-6 * 4 + x * 4) 48 + 12x = (-24 + 4x) Solving 48 + 12x = -24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 48 + 12x + -4x = -24 + 4x + -4x Combine like terms: 12x + -4x = 8x 48 + 8x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 48 + 8x = -24 + 0 48 + 8x = -24 Add '-48' to each side of the equation. 48 + -48 + 8x = -24 + -48 Combine like terms: 48 + -48 = 0 0 + 8x = -24 + -48 8x = -24 + -48 Combine like terms: -24 + -48 = -72 8x = -72 Divide each side by '8'. x = -9 Simplifying x = -9
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