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