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Simplifying 7x + -1(3x + -4) = 2(x + 1) Reorder the terms: 7x + -1(-4 + 3x) = 2(x + 1) 7x + (-4 * -1 + 3x * -1) = 2(x + 1) 7x + (4 + -3x) = 2(x + 1) Reorder the terms: 4 + 7x + -3x = 2(x + 1) Combine like terms: 7x + -3x = 4x 4 + 4x = 2(x + 1) Reorder the terms: 4 + 4x = 2(1 + x) 4 + 4x = (1 * 2 + x * 2) 4 + 4x = (2 + 2x) Solving 4 + 4x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + 4x + -2x = 2 + 2x + -2x Combine like terms: 4x + -2x = 2x 4 + 2x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 2x = 2 + 0 4 + 2x = 2 Add '-4' to each side of the equation. 4 + -4 + 2x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 2 + -4 2x = 2 + -4 Combine like terms: 2 + -4 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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