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Simplifying 4(3x + -3) = 2(2x + 6) Reorder the terms: 4(-3 + 3x) = 2(2x + 6) (-3 * 4 + 3x * 4) = 2(2x + 6) (-12 + 12x) = 2(2x + 6) Reorder the terms: -12 + 12x = 2(6 + 2x) -12 + 12x = (6 * 2 + 2x * 2) -12 + 12x = (12 + 4x) Solving -12 + 12x = 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. -12 + 12x + -4x = 12 + 4x + -4x Combine like terms: 12x + -4x = 8x -12 + 8x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 8x = 12 + 0 -12 + 8x = 12 Add '12' to each side of the equation. -12 + 12 + 8x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 12 + 12 8x = 12 + 12 Combine like terms: 12 + 12 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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