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Simplifying 3x + 2(4x + -4) = 47 Reorder the terms: 3x + 2(-4 + 4x) = 47 3x + (-4 * 2 + 4x * 2) = 47 3x + (-8 + 8x) = 47 Reorder the terms: -8 + 3x + 8x = 47 Combine like terms: 3x + 8x = 11x -8 + 11x = 47 Solving -8 + 11x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 11x = 47 + 8 Combine like terms: -8 + 8 = 0 0 + 11x = 47 + 8 11x = 47 + 8 Combine like terms: 47 + 8 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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