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