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Simplifying 12x + 12 = 4(x + -5) Reorder the terms: 12 + 12x = 4(x + -5) Reorder the terms: 12 + 12x = 4(-5 + x) 12 + 12x = (-5 * 4 + x * 4) 12 + 12x = (-20 + 4x) Solving 12 + 12x = -20 + 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. 12 + 12x + -4x = -20 + 4x + -4x Combine like terms: 12x + -4x = 8x 12 + 8x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 8x = -20 + 0 12 + 8x = -20 Add '-12' to each side of the equation. 12 + -12 + 8x = -20 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = -20 + -12 8x = -20 + -12 Combine like terms: -20 + -12 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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