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