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Simplifying 8 + -4(x + -6) = 12x Reorder the terms: 8 + -4(-6 + x) = 12x 8 + (-6 * -4 + x * -4) = 12x 8 + (24 + -4x) = 12x Combine like terms: 8 + 24 = 32 32 + -4x = 12x Solving 32 + -4x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 32 + -4x + -12x = 12x + -12x Combine like terms: -4x + -12x = -16x 32 + -16x = 12x + -12x Combine like terms: 12x + -12x = 0 32 + -16x = 0 Add '-32' to each side of the equation. 32 + -32 + -16x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -16x = 0 + -32 -16x = 0 + -32 Combine like terms: 0 + -32 = -32 -16x = -32 Divide each side by '-16'. x = 2 Simplifying x = 2
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