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