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Simplifying 4x + -2(-2x + 1) = 2 + -2(2x + 14) Reorder the terms: 4x + -2(1 + -2x) = 2 + -2(2x + 14) 4x + (1 * -2 + -2x * -2) = 2 + -2(2x + 14) 4x + (-2 + 4x) = 2 + -2(2x + 14) Reorder the terms: -2 + 4x + 4x = 2 + -2(2x + 14) Combine like terms: 4x + 4x = 8x -2 + 8x = 2 + -2(2x + 14) Reorder the terms: -2 + 8x = 2 + -2(14 + 2x) -2 + 8x = 2 + (14 * -2 + 2x * -2) -2 + 8x = 2 + (-28 + -4x) Combine like terms: 2 + -28 = -26 -2 + 8x = -26 + -4x Solving -2 + 8x = -26 + -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 + 8x + 4x = -26 + -4x + 4x Combine like terms: 8x + 4x = 12x -2 + 12x = -26 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 12x = -26 + 0 -2 + 12x = -26 Add '2' to each side of the equation. -2 + 2 + 12x = -26 + 2 Combine like terms: -2 + 2 = 0 0 + 12x = -26 + 2 12x = -26 + 2 Combine like terms: -26 + 2 = -24 12x = -24 Divide each side by '12'. x = -2 Simplifying x = -2
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