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Simplifying 12(3x + -3) + -6(2x + -2) = 4x + -12 Reorder the terms: 12(-3 + 3x) + -6(2x + -2) = 4x + -12 (-3 * 12 + 3x * 12) + -6(2x + -2) = 4x + -12 (-36 + 36x) + -6(2x + -2) = 4x + -12 Reorder the terms: -36 + 36x + -6(-2 + 2x) = 4x + -12 -36 + 36x + (-2 * -6 + 2x * -6) = 4x + -12 -36 + 36x + (12 + -12x) = 4x + -12 Reorder the terms: -36 + 12 + 36x + -12x = 4x + -12 Combine like terms: -36 + 12 = -24 -24 + 36x + -12x = 4x + -12 Combine like terms: 36x + -12x = 24x -24 + 24x = 4x + -12 Reorder the terms: -24 + 24x = -12 + 4x Solving -24 + 24x = -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. -24 + 24x + -4x = -12 + 4x + -4x Combine like terms: 24x + -4x = 20x -24 + 20x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + 20x = -12 + 0 -24 + 20x = -12 Add '24' to each side of the equation. -24 + 24 + 20x = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 20x = -12 + 24 20x = -12 + 24 Combine like terms: -12 + 24 = 12 20x = 12 Divide each side by '20'. x = 0.6 Simplifying x = 0.6
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