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