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Simplifying 2(x + -4) = -12(3x + 1) Reorder the terms: 2(-4 + x) = -12(3x + 1) (-4 * 2 + x * 2) = -12(3x + 1) (-8 + 2x) = -12(3x + 1) Reorder the terms: -8 + 2x = -12(1 + 3x) -8 + 2x = (1 * -12 + 3x * -12) -8 + 2x = (-12 + -36x) Solving -8 + 2x = -12 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -8 + 2x + 36x = -12 + -36x + 36x Combine like terms: 2x + 36x = 38x -8 + 38x = -12 + -36x + 36x Combine like terms: -36x + 36x = 0 -8 + 38x = -12 + 0 -8 + 38x = -12 Add '8' to each side of the equation. -8 + 8 + 38x = -12 + 8 Combine like terms: -8 + 8 = 0 0 + 38x = -12 + 8 38x = -12 + 8 Combine like terms: -12 + 8 = -4 38x = -4 Divide each side by '38'. x = -0.1052631579 Simplifying x = -0.1052631579
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