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Simplifying 7x + 4(x + -1) = 3(x + 4) Reorder the terms: 7x + 4(-1 + x) = 3(x + 4) 7x + (-1 * 4 + x * 4) = 3(x + 4) 7x + (-4 + 4x) = 3(x + 4) Reorder the terms: -4 + 7x + 4x = 3(x + 4) Combine like terms: 7x + 4x = 11x -4 + 11x = 3(x + 4) Reorder the terms: -4 + 11x = 3(4 + x) -4 + 11x = (4 * 3 + x * 3) -4 + 11x = (12 + 3x) Solving -4 + 11x = 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. -4 + 11x + -3x = 12 + 3x + -3x Combine like terms: 11x + -3x = 8x -4 + 8x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 8x = 12 + 0 -4 + 8x = 12 Add '4' to each side of the equation. -4 + 4 + 8x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = 12 + 4 8x = 12 + 4 Combine like terms: 12 + 4 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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