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Simplifying 3(x + 4) = (x + -4)(-5) Reorder the terms: 3(4 + x) = (x + -4)(-5) (4 * 3 + x * 3) = (x + -4)(-5) (12 + 3x) = (x + -4)(-5) Reorder the terms: 12 + 3x = (-4 + x)(-5) Reorder the terms for easier multiplication: 12 + 3x = -5(-4 + x) 12 + 3x = (-4 * -5 + x * -5) 12 + 3x = (20 + -5x) Solving 12 + 3x = 20 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 12 + 3x + 5x = 20 + -5x + 5x Combine like terms: 3x + 5x = 8x 12 + 8x = 20 + -5x + 5x Combine like terms: -5x + 5x = 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 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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