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Simplifying 5(x + -3) = 5(7 + -4x) Reorder the terms: 5(-3 + x) = 5(7 + -4x) (-3 * 5 + x * 5) = 5(7 + -4x) (-15 + 5x) = 5(7 + -4x) -15 + 5x = (7 * 5 + -4x * 5) -15 + 5x = (35 + -20x) Solving -15 + 5x = 35 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -15 + 5x + 20x = 35 + -20x + 20x Combine like terms: 5x + 20x = 25x -15 + 25x = 35 + -20x + 20x Combine like terms: -20x + 20x = 0 -15 + 25x = 35 + 0 -15 + 25x = 35 Add '15' to each side of the equation. -15 + 15 + 25x = 35 + 15 Combine like terms: -15 + 15 = 0 0 + 25x = 35 + 15 25x = 35 + 15 Combine like terms: 35 + 15 = 50 25x = 50 Divide each side by '25'. x = 2 Simplifying x = 2
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