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Simplifying 4(3x + -5) + 5(1 + -2x) = 25 Reorder the terms: 4(-5 + 3x) + 5(1 + -2x) = 25 (-5 * 4 + 3x * 4) + 5(1 + -2x) = 25 (-20 + 12x) + 5(1 + -2x) = 25 -20 + 12x + (1 * 5 + -2x * 5) = 25 -20 + 12x + (5 + -10x) = 25 Reorder the terms: -20 + 5 + 12x + -10x = 25 Combine like terms: -20 + 5 = -15 -15 + 12x + -10x = 25 Combine like terms: 12x + -10x = 2x -15 + 2x = 25 Solving -15 + 2x = 25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 2x = 25 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = 25 + 15 2x = 25 + 15 Combine like terms: 25 + 15 = 40 2x = 40 Divide each side by '2'. x = 20 Simplifying x = 20
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