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Simplifying -2(2x + 1) = 12x + 3 Reorder the terms: -2(1 + 2x) = 12x + 3 (1 * -2 + 2x * -2) = 12x + 3 (-2 + -4x) = 12x + 3 Reorder the terms: -2 + -4x = 3 + 12x Solving -2 + -4x = 3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -2 + -4x + -12x = 3 + 12x + -12x Combine like terms: -4x + -12x = -16x -2 + -16x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -16x = 3 + 0 -2 + -16x = 3 Add '2' to each side of the equation. -2 + 2 + -16x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -16x = 3 + 2 -16x = 3 + 2 Combine like terms: 3 + 2 = 5 -16x = 5 Divide each side by '-16'. x = -0.3125 Simplifying x = -0.3125
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