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Simplifying 3x + 4(2x + -4) = 4(x + 3) Reorder the terms: 3x + 4(-4 + 2x) = 4(x + 3) 3x + (-4 * 4 + 2x * 4) = 4(x + 3) 3x + (-16 + 8x) = 4(x + 3) Reorder the terms: -16 + 3x + 8x = 4(x + 3) Combine like terms: 3x + 8x = 11x -16 + 11x = 4(x + 3) Reorder the terms: -16 + 11x = 4(3 + x) -16 + 11x = (3 * 4 + x * 4) -16 + 11x = (12 + 4x) Solving -16 + 11x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -16 + 11x + -4x = 12 + 4x + -4x Combine like terms: 11x + -4x = 7x -16 + 7x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -16 + 7x = 12 + 0 -16 + 7x = 12 Add '16' to each side of the equation. -16 + 16 + 7x = 12 + 16 Combine like terms: -16 + 16 = 0 0 + 7x = 12 + 16 7x = 12 + 16 Combine like terms: 12 + 16 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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