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Simplifying -5(X + 2) + -3x = 2(X + 5) Reorder the terms: -5(2 + X) + -3x = 2(X + 5) (2 * -5 + X * -5) + -3x = 2(X + 5) (-10 + -5X) + -3x = 2(X + 5) Reorder the terms: -10 + -5X + -3x = 2(5 + X) -10 + -5X + -3x = (5 * 2 + X * 2) -10 + -5X + -3x = (10 + 2X) Solving -10 + -5X + -3x = 10 + 2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2X' to each side of the equation. -10 + -5X + -2X + -3x = 10 + 2X + -2X Combine like terms: -5X + -2X = -7X -10 + -7X + -3x = 10 + 2X + -2X Combine like terms: 2X + -2X = 0 -10 + -7X + -3x = 10 + 0 -10 + -7X + -3x = 10 Add '10' to each side of the equation. -10 + -7X + 10 + -3x = 10 + 10 Reorder the terms: -10 + 10 + -7X + -3x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -7X + -3x = 10 + 10 -7X + -3x = 10 + 10 Combine like terms: 10 + 10 = 20 -7X + -3x = 20 Add '3x' to each side of the equation. -7X + -3x + 3x = 20 + 3x Combine like terms: -3x + 3x = 0 -7X + 0 = 20 + 3x -7X = 20 + 3x Divide each side by '-7'. X = -2.857142857 + -0.4285714286x Simplifying X = -2.857142857 + -0.4285714286x
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