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Simplifying -4(4x + 6) = 4(x + -1) Reorder the terms: -4(6 + 4x) = 4(x + -1) (6 * -4 + 4x * -4) = 4(x + -1) (-24 + -16x) = 4(x + -1) Reorder the terms: -24 + -16x = 4(-1 + x) -24 + -16x = (-1 * 4 + x * 4) -24 + -16x = (-4 + 4x) Solving -24 + -16x = -4 + 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. -24 + -16x + -4x = -4 + 4x + -4x Combine like terms: -16x + -4x = -20x -24 + -20x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + -20x = -4 + 0 -24 + -20x = -4 Add '24' to each side of the equation. -24 + 24 + -20x = -4 + 24 Combine like terms: -24 + 24 = 0 0 + -20x = -4 + 24 -20x = -4 + 24 Combine like terms: -4 + 24 = 20 -20x = 20 Divide each side by '-20'. x = -1 Simplifying x = -1
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