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Simplifying 5(2x + 3) = 2(X + -10) + 3(x + 15) Reorder the terms: 5(3 + 2x) = 2(X + -10) + 3(x + 15) (3 * 5 + 2x * 5) = 2(X + -10) + 3(x + 15) (15 + 10x) = 2(X + -10) + 3(x + 15) Reorder the terms: 15 + 10x = 2(-10 + X) + 3(x + 15) 15 + 10x = (-10 * 2 + X * 2) + 3(x + 15) 15 + 10x = (-20 + 2X) + 3(x + 15) Reorder the terms: 15 + 10x = -20 + 2X + 3(15 + x) 15 + 10x = -20 + 2X + (15 * 3 + x * 3) 15 + 10x = -20 + 2X + (45 + 3x) Reorder the terms: 15 + 10x = -20 + 45 + 2X + 3x Combine like terms: -20 + 45 = 25 15 + 10x = 25 + 2X + 3x Solving 15 + 10x = 25 + 2X + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 15 + 10x + -3x = 25 + 2X + 3x + -3x Combine like terms: 10x + -3x = 7x 15 + 7x = 25 + 2X + 3x + -3x Combine like terms: 3x + -3x = 0 15 + 7x = 25 + 2X + 0 15 + 7x = 25 + 2X Add '-15' to each side of the equation. 15 + -15 + 7x = 25 + -15 + 2X Combine like terms: 15 + -15 = 0 0 + 7x = 25 + -15 + 2X 7x = 25 + -15 + 2X Combine like terms: 25 + -15 = 10 7x = 10 + 2X Divide each side by '7'. x = 1.428571429 + 0.2857142857X Simplifying x = 1.428571429 + 0.2857142857X
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