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Simplifying 2(3x + 1) = -4(x + 12) Reorder the terms: 2(1 + 3x) = -4(x + 12) (1 * 2 + 3x * 2) = -4(x + 12) (2 + 6x) = -4(x + 12) Reorder the terms: 2 + 6x = -4(12 + x) 2 + 6x = (12 * -4 + x * -4) 2 + 6x = (-48 + -4x) Solving 2 + 6x = -48 + -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 + 6x + 4x = -48 + -4x + 4x Combine like terms: 6x + 4x = 10x 2 + 10x = -48 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 10x = -48 + 0 2 + 10x = -48 Add '-2' to each side of the equation. 2 + -2 + 10x = -48 + -2 Combine like terms: 2 + -2 = 0 0 + 10x = -48 + -2 10x = -48 + -2 Combine like terms: -48 + -2 = -50 10x = -50 Divide each side by '10'. x = -5 Simplifying x = -5
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