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Simplifying -3(1 + -4x) = 2(4 + -2x) + 5 (1 * -3 + -4x * -3) = 2(4 + -2x) + 5 (-3 + 12x) = 2(4 + -2x) + 5 -3 + 12x = (4 * 2 + -2x * 2) + 5 -3 + 12x = (8 + -4x) + 5 Reorder the terms: -3 + 12x = 8 + 5 + -4x Combine like terms: 8 + 5 = 13 -3 + 12x = 13 + -4x Solving -3 + 12x = 13 + -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. -3 + 12x + 4x = 13 + -4x + 4x Combine like terms: 12x + 4x = 16x -3 + 16x = 13 + -4x + 4x Combine like terms: -4x + 4x = 0 -3 + 16x = 13 + 0 -3 + 16x = 13 Add '3' to each side of the equation. -3 + 3 + 16x = 13 + 3 Combine like terms: -3 + 3 = 0 0 + 16x = 13 + 3 16x = 13 + 3 Combine like terms: 13 + 3 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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