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