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Simplifying 4(x + -1) = 2(x + -4) Reorder the terms: 4(-1 + x) = 2(x + -4) (-1 * 4 + x * 4) = 2(x + -4) (-4 + 4x) = 2(x + -4) Reorder the terms: -4 + 4x = 2(-4 + x) -4 + 4x = (-4 * 2 + x * 2) -4 + 4x = (-8 + 2x) Solving -4 + 4x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + 4x + -2x = -8 + 2x + -2x Combine like terms: 4x + -2x = 2x -4 + 2x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 2x = -8 + 0 -4 + 2x = -8 Add '4' to each side of the equation. -4 + 4 + 2x = -8 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -8 + 4 2x = -8 + 4 Combine like terms: -8 + 4 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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