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Simplifying 5(x + -4) = -3(-4 + x) Reorder the terms: 5(-4 + x) = -3(-4 + x) (-4 * 5 + x * 5) = -3(-4 + x) (-20 + 5x) = -3(-4 + x) -20 + 5x = (-4 * -3 + x * -3) -20 + 5x = (12 + -3x) Solving -20 + 5x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -20 + 5x + 3x = 12 + -3x + 3x Combine like terms: 5x + 3x = 8x -20 + 8x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -20 + 8x = 12 + 0 -20 + 8x = 12 Add '20' to each side of the equation. -20 + 20 + 8x = 12 + 20 Combine like terms: -20 + 20 = 0 0 + 8x = 12 + 20 8x = 12 + 20 Combine like terms: 12 + 20 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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