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Simplifying 4(2x + -4) = -2(x + 3) Reorder the terms: 4(-4 + 2x) = -2(x + 3) (-4 * 4 + 2x * 4) = -2(x + 3) (-16 + 8x) = -2(x + 3) Reorder the terms: -16 + 8x = -2(3 + x) -16 + 8x = (3 * -2 + x * -2) -16 + 8x = (-6 + -2x) Solving -16 + 8x = -6 + -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. -16 + 8x + 2x = -6 + -2x + 2x Combine like terms: 8x + 2x = 10x -16 + 10x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + 10x = -6 + 0 -16 + 10x = -6 Add '16' to each side of the equation. -16 + 16 + 10x = -6 + 16 Combine like terms: -16 + 16 = 0 0 + 10x = -6 + 16 10x = -6 + 16 Combine like terms: -6 + 16 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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