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Simplifying -4(x + 3) = 2(3x + -1) Reorder the terms: -4(3 + x) = 2(3x + -1) (3 * -4 + x * -4) = 2(3x + -1) (-12 + -4x) = 2(3x + -1) Reorder the terms: -12 + -4x = 2(-1 + 3x) -12 + -4x = (-1 * 2 + 3x * 2) -12 + -4x = (-2 + 6x) Solving -12 + -4x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + -4x + -6x = -2 + 6x + -6x Combine like terms: -4x + -6x = -10x -12 + -10x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -10x = -2 + 0 -12 + -10x = -2 Add '12' to each side of the equation. -12 + 12 + -10x = -2 + 12 Combine like terms: -12 + 12 = 0 0 + -10x = -2 + 12 -10x = -2 + 12 Combine like terms: -2 + 12 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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