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Simplifying 8(x + 3) = 12x + -4 Reorder the terms: 8(3 + x) = 12x + -4 (3 * 8 + x * 8) = 12x + -4 (24 + 8x) = 12x + -4 Reorder the terms: 24 + 8x = -4 + 12x Solving 24 + 8x = -4 + 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. 24 + 8x + -12x = -4 + 12x + -12x Combine like terms: 8x + -12x = -4x 24 + -4x = -4 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + -4x = -4 + 0 24 + -4x = -4 Add '-24' to each side of the equation. 24 + -24 + -4x = -4 + -24 Combine like terms: 24 + -24 = 0 0 + -4x = -4 + -24 -4x = -4 + -24 Combine like terms: -4 + -24 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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