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Simplifying 12(3x + 3) + -6(2x + -2) = 4x + -32 Reorder the terms: 12(3 + 3x) + -6(2x + -2) = 4x + -32 (3 * 12 + 3x * 12) + -6(2x + -2) = 4x + -32 (36 + 36x) + -6(2x + -2) = 4x + -32 Reorder the terms: 36 + 36x + -6(-2 + 2x) = 4x + -32 36 + 36x + (-2 * -6 + 2x * -6) = 4x + -32 36 + 36x + (12 + -12x) = 4x + -32 Reorder the terms: 36 + 12 + 36x + -12x = 4x + -32 Combine like terms: 36 + 12 = 48 48 + 36x + -12x = 4x + -32 Combine like terms: 36x + -12x = 24x 48 + 24x = 4x + -32 Reorder the terms: 48 + 24x = -32 + 4x Solving 48 + 24x = -32 + 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. 48 + 24x + -4x = -32 + 4x + -4x Combine like terms: 24x + -4x = 20x 48 + 20x = -32 + 4x + -4x Combine like terms: 4x + -4x = 0 48 + 20x = -32 + 0 48 + 20x = -32 Add '-48' to each side of the equation. 48 + -48 + 20x = -32 + -48 Combine like terms: 48 + -48 = 0 0 + 20x = -32 + -48 20x = -32 + -48 Combine like terms: -32 + -48 = -80 20x = -80 Divide each side by '20'. x = -4 Simplifying x = -4
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