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Simplifying 4(3x + -5) = 5x + 2(x + 15) Reorder the terms: 4(-5 + 3x) = 5x + 2(x + 15) (-5 * 4 + 3x * 4) = 5x + 2(x + 15) (-20 + 12x) = 5x + 2(x + 15) Reorder the terms: -20 + 12x = 5x + 2(15 + x) -20 + 12x = 5x + (15 * 2 + x * 2) -20 + 12x = 5x + (30 + 2x) Reorder the terms: -20 + 12x = 30 + 5x + 2x Combine like terms: 5x + 2x = 7x -20 + 12x = 30 + 7x Solving -20 + 12x = 30 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -20 + 12x + -7x = 30 + 7x + -7x Combine like terms: 12x + -7x = 5x -20 + 5x = 30 + 7x + -7x Combine like terms: 7x + -7x = 0 -20 + 5x = 30 + 0 -20 + 5x = 30 Add '20' to each side of the equation. -20 + 20 + 5x = 30 + 20 Combine like terms: -20 + 20 = 0 0 + 5x = 30 + 20 5x = 30 + 20 Combine like terms: 30 + 20 = 50 5x = 50 Divide each side by '5'. x = 10 Simplifying x = 10
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