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Simplifying -4x + 12 = -4(2x + 5) Reorder the terms: 12 + -4x = -4(2x + 5) Reorder the terms: 12 + -4x = -4(5 + 2x) 12 + -4x = (5 * -4 + 2x * -4) 12 + -4x = (-20 + -8x) Solving 12 + -4x = -20 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 12 + -4x + 8x = -20 + -8x + 8x Combine like terms: -4x + 8x = 4x 12 + 4x = -20 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + 4x = -20 + 0 12 + 4x = -20 Add '-12' to each side of the equation. 12 + -12 + 4x = -20 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = -20 + -12 4x = -20 + -12 Combine like terms: -20 + -12 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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