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Simplifying -3(2x + -4) = -4(7x + 8) Reorder the terms: -3(-4 + 2x) = -4(7x + 8) (-4 * -3 + 2x * -3) = -4(7x + 8) (12 + -6x) = -4(7x + 8) Reorder the terms: 12 + -6x = -4(8 + 7x) 12 + -6x = (8 * -4 + 7x * -4) 12 + -6x = (-32 + -28x) Solving 12 + -6x = -32 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. 12 + -6x + 28x = -32 + -28x + 28x Combine like terms: -6x + 28x = 22x 12 + 22x = -32 + -28x + 28x Combine like terms: -28x + 28x = 0 12 + 22x = -32 + 0 12 + 22x = -32 Add '-12' to each side of the equation. 12 + -12 + 22x = -32 + -12 Combine like terms: 12 + -12 = 0 0 + 22x = -32 + -12 22x = -32 + -12 Combine like terms: -32 + -12 = -44 22x = -44 Divide each side by '22'. x = -2 Simplifying x = -2
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