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Simplifying 2 + 5(4x + -3) = 5(10x + 3) + -5x Reorder the terms: 2 + 5(-3 + 4x) = 5(10x + 3) + -5x 2 + (-3 * 5 + 4x * 5) = 5(10x + 3) + -5x 2 + (-15 + 20x) = 5(10x + 3) + -5x Combine like terms: 2 + -15 = -13 -13 + 20x = 5(10x + 3) + -5x Reorder the terms: -13 + 20x = 5(3 + 10x) + -5x -13 + 20x = (3 * 5 + 10x * 5) + -5x -13 + 20x = (15 + 50x) + -5x Combine like terms: 50x + -5x = 45x -13 + 20x = 15 + 45x Solving -13 + 20x = 15 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. -13 + 20x + -45x = 15 + 45x + -45x Combine like terms: 20x + -45x = -25x -13 + -25x = 15 + 45x + -45x Combine like terms: 45x + -45x = 0 -13 + -25x = 15 + 0 -13 + -25x = 15 Add '13' to each side of the equation. -13 + 13 + -25x = 15 + 13 Combine like terms: -13 + 13 = 0 0 + -25x = 15 + 13 -25x = 15 + 13 Combine like terms: 15 + 13 = 28 -25x = 28 Divide each side by '-25'. x = -1.12 Simplifying x = -1.12
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