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Simplifying -7(x + -4) = 4(2 + -3x) Reorder the terms: -7(-4 + x) = 4(2 + -3x) (-4 * -7 + x * -7) = 4(2 + -3x) (28 + -7x) = 4(2 + -3x) 28 + -7x = (2 * 4 + -3x * 4) 28 + -7x = (8 + -12x) Solving 28 + -7x = 8 + -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. 28 + -7x + 12x = 8 + -12x + 12x Combine like terms: -7x + 12x = 5x 28 + 5x = 8 + -12x + 12x Combine like terms: -12x + 12x = 0 28 + 5x = 8 + 0 28 + 5x = 8 Add '-28' to each side of the equation. 28 + -28 + 5x = 8 + -28 Combine like terms: 28 + -28 = 0 0 + 5x = 8 + -28 5x = 8 + -28 Combine like terms: 8 + -28 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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