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Simplifying -2(2x + 3) = -4(x + 1) * 2 Reorder the terms: -2(3 + 2x) = -4(x + 1) * 2 (3 * -2 + 2x * -2) = -4(x + 1) * 2 (-6 + -4x) = -4(x + 1) * 2 Reorder the terms: -6 + -4x = -4(1 + x) * 2 Reorder the terms for easier multiplication: -6 + -4x = -4 * 2(1 + x) Multiply -4 * 2 -6 + -4x = -8(1 + x) -6 + -4x = (1 * -8 + x * -8) -6 + -4x = (-8 + -8x) Solving -6 + -4x = -8 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -6 + -4x + 8x = -8 + -8x + 8x Combine like terms: -4x + 8x = 4x -6 + 4x = -8 + -8x + 8x Combine like terms: -8x + 8x = 0 -6 + 4x = -8 + 0 -6 + 4x = -8 Add '6' to each side of the equation. -6 + 6 + 4x = -8 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = -8 + 6 4x = -8 + 6 Combine like terms: -8 + 6 = -2 4x = -2 Divide each side by '4'. x = -0.5 Simplifying x = -0.5
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