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