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Simplifying 7x + -1(2x + -4) = 3(x + 1) Reorder the terms: 7x + -1(-4 + 2x) = 3(x + 1) 7x + (-4 * -1 + 2x * -1) = 3(x + 1) 7x + (4 + -2x) = 3(x + 1) Reorder the terms: 4 + 7x + -2x = 3(x + 1) Combine like terms: 7x + -2x = 5x 4 + 5x = 3(x + 1) Reorder the terms: 4 + 5x = 3(1 + x) 4 + 5x = (1 * 3 + x * 3) 4 + 5x = (3 + 3x) Solving 4 + 5x = 3 + 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 + 5x + -3x = 3 + 3x + -3x Combine like terms: 5x + -3x = 2x 4 + 2x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 2x = 3 + 0 4 + 2x = 3 Add '-4' to each side of the equation. 4 + -4 + 2x = 3 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 3 + -4 2x = 3 + -4 Combine like terms: 3 + -4 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5
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