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Simplifying -4(x + 4) = -4(1 + 2x) + -2x Reorder the terms: -4(4 + x) = -4(1 + 2x) + -2x (4 * -4 + x * -4) = -4(1 + 2x) + -2x (-16 + -4x) = -4(1 + 2x) + -2x -16 + -4x = (1 * -4 + 2x * -4) + -2x -16 + -4x = (-4 + -8x) + -2x Combine like terms: -8x + -2x = -10x -16 + -4x = -4 + -10x Solving -16 + -4x = -4 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -16 + -4x + 10x = -4 + -10x + 10x Combine like terms: -4x + 10x = 6x -16 + 6x = -4 + -10x + 10x Combine like terms: -10x + 10x = 0 -16 + 6x = -4 + 0 -16 + 6x = -4 Add '16' to each side of the equation. -16 + 16 + 6x = -4 + 16 Combine like terms: -16 + 16 = 0 0 + 6x = -4 + 16 6x = -4 + 16 Combine like terms: -4 + 16 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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