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Simplifying -4(12 + -3x) = -2(2x + 1) (12 * -4 + -3x * -4) = -2(2x + 1) (-48 + 12x) = -2(2x + 1) Reorder the terms: -48 + 12x = -2(1 + 2x) -48 + 12x = (1 * -2 + 2x * -2) -48 + 12x = (-2 + -4x) Solving -48 + 12x = -2 + -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. -48 + 12x + 4x = -2 + -4x + 4x Combine like terms: 12x + 4x = 16x -48 + 16x = -2 + -4x + 4x Combine like terms: -4x + 4x = 0 -48 + 16x = -2 + 0 -48 + 16x = -2 Add '48' to each side of the equation. -48 + 48 + 16x = -2 + 48 Combine like terms: -48 + 48 = 0 0 + 16x = -2 + 48 16x = -2 + 48 Combine like terms: -2 + 48 = 46 16x = 46 Divide each side by '16'. x = 2.875 Simplifying x = 2.875
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