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Simplifying 3x + 2(x + -1) = 7x + -4(x + 2) Reorder the terms: 3x + 2(-1 + x) = 7x + -4(x + 2) 3x + (-1 * 2 + x * 2) = 7x + -4(x + 2) 3x + (-2 + 2x) = 7x + -4(x + 2) Reorder the terms: -2 + 3x + 2x = 7x + -4(x + 2) Combine like terms: 3x + 2x = 5x -2 + 5x = 7x + -4(x + 2) Reorder the terms: -2 + 5x = 7x + -4(2 + x) -2 + 5x = 7x + (2 * -4 + x * -4) -2 + 5x = 7x + (-8 + -4x) Reorder the terms: -2 + 5x = -8 + 7x + -4x Combine like terms: 7x + -4x = 3x -2 + 5x = -8 + 3x Solving -2 + 5x = -8 + 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. -2 + 5x + -3x = -8 + 3x + -3x Combine like terms: 5x + -3x = 2x -2 + 2x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 2x = -8 + 0 -2 + 2x = -8 Add '2' to each side of the equation. -2 + 2 + 2x = -8 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = -8 + 2 2x = -8 + 2 Combine like terms: -8 + 2 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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