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Simplifying 4(5 + -5x + -5x) + 4(9x + 9) = 12 Combine like terms: -5x + -5x = -10x 4(5 + -10x) + 4(9x + 9) = 12 (5 * 4 + -10x * 4) + 4(9x + 9) = 12 (20 + -40x) + 4(9x + 9) = 12 Reorder the terms: 20 + -40x + 4(9 + 9x) = 12 20 + -40x + (9 * 4 + 9x * 4) = 12 20 + -40x + (36 + 36x) = 12 Reorder the terms: 20 + 36 + -40x + 36x = 12 Combine like terms: 20 + 36 = 56 56 + -40x + 36x = 12 Combine like terms: -40x + 36x = -4x 56 + -4x = 12 Solving 56 + -4x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + -4x = 12 + -56 Combine like terms: 56 + -56 = 0 0 + -4x = 12 + -56 -4x = 12 + -56 Combine like terms: 12 + -56 = -44 -4x = -44 Divide each side by '-4'. x = 11 Simplifying x = 11
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