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