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Simplifying -2 = 2(1 + -2x) + 4(2x + 3) -2 = (1 * 2 + -2x * 2) + 4(2x + 3) -2 = (2 + -4x) + 4(2x + 3) Reorder the terms: -2 = 2 + -4x + 4(3 + 2x) -2 = 2 + -4x + (3 * 4 + 2x * 4) -2 = 2 + -4x + (12 + 8x) Reorder the terms: -2 = 2 + 12 + -4x + 8x Combine like terms: 2 + 12 = 14 -2 = 14 + -4x + 8x Combine like terms: -4x + 8x = 4x -2 = 14 + 4x Solving -2 = 14 + 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 + -4x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -4x = 14 + 0 -2 + -4x = 14 Add '2' to each side of the equation. -2 + 2 + -4x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = 14 + 2 -4x = 14 + 2 Combine like terms: 14 + 2 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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