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Simplifying -2(1 + x) = -4(x + -3) (1 * -2 + x * -2) = -4(x + -3) (-2 + -2x) = -4(x + -3) Reorder the terms: -2 + -2x = -4(-3 + x) -2 + -2x = (-3 * -4 + x * -4) -2 + -2x = (12 + -4x) Solving -2 + -2x = 12 + -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. -2 + -2x + 4x = 12 + -4x + 4x Combine like terms: -2x + 4x = 2x -2 + 2x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 2x = 12 + 0 -2 + 2x = 12 Add '2' to each side of the equation. -2 + 2 + 2x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 12 + 2 2x = 12 + 2 Combine like terms: 12 + 2 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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