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Simplifying 12(3x + 3) + -6(2x + -3) = 4x + -52 Reorder the terms: 12(3 + 3x) + -6(2x + -3) = 4x + -52 (3 * 12 + 3x * 12) + -6(2x + -3) = 4x + -52 (36 + 36x) + -6(2x + -3) = 4x + -52 Reorder the terms: 36 + 36x + -6(-3 + 2x) = 4x + -52 36 + 36x + (-3 * -6 + 2x * -6) = 4x + -52 36 + 36x + (18 + -12x) = 4x + -52 Reorder the terms: 36 + 18 + 36x + -12x = 4x + -52 Combine like terms: 36 + 18 = 54 54 + 36x + -12x = 4x + -52 Combine like terms: 36x + -12x = 24x 54 + 24x = 4x + -52 Reorder the terms: 54 + 24x = -52 + 4x Solving 54 + 24x = -52 + 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. 54 + 24x + -4x = -52 + 4x + -4x Combine like terms: 24x + -4x = 20x 54 + 20x = -52 + 4x + -4x Combine like terms: 4x + -4x = 0 54 + 20x = -52 + 0 54 + 20x = -52 Add '-54' to each side of the equation. 54 + -54 + 20x = -52 + -54 Combine like terms: 54 + -54 = 0 0 + 20x = -52 + -54 20x = -52 + -54 Combine like terms: -52 + -54 = -106 20x = -106 Divide each side by '20'. x = -5.3 Simplifying x = -5.3
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