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Simplifying -33 = 5(1 + -4x) + 3(-1 + -5x) -33 = (1 * 5 + -4x * 5) + 3(-1 + -5x) -33 = (5 + -20x) + 3(-1 + -5x) -33 = 5 + -20x + (-1 * 3 + -5x * 3) -33 = 5 + -20x + (-3 + -15x) Reorder the terms: -33 = 5 + -3 + -20x + -15x Combine like terms: 5 + -3 = 2 -33 = 2 + -20x + -15x Combine like terms: -20x + -15x = -35x -33 = 2 + -35x Solving -33 = 2 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. -33 + 35x = 2 + -35x + 35x Combine like terms: -35x + 35x = 0 -33 + 35x = 2 + 0 -33 + 35x = 2 Add '33' to each side of the equation. -33 + 33 + 35x = 2 + 33 Combine like terms: -33 + 33 = 0 0 + 35x = 2 + 33 35x = 2 + 33 Combine like terms: 2 + 33 = 35 35x = 35 Divide each side by '35'. x = 1 Simplifying x = 1
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