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Simplifying 5(X + 3) + -2 = 2x + 3(4 + x) Reorder the terms: 5(3 + X) + -2 = 2x + 3(4 + x) (3 * 5 + X * 5) + -2 = 2x + 3(4 + x) (15 + 5X) + -2 = 2x + 3(4 + x) Reorder the terms: 15 + -2 + 5X = 2x + 3(4 + x) Combine like terms: 15 + -2 = 13 13 + 5X = 2x + 3(4 + x) 13 + 5X = 2x + (4 * 3 + x * 3) 13 + 5X = 2x + (12 + 3x) Reorder the terms: 13 + 5X = 12 + 2x + 3x Combine like terms: 2x + 3x = 5x 13 + 5X = 12 + 5x Solving 13 + 5X = 12 + 5x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 5X = 12 + -13 + 5x Combine like terms: 13 + -13 = 0 0 + 5X = 12 + -13 + 5x 5X = 12 + -13 + 5x Combine like terms: 12 + -13 = -1 5X = -1 + 5x Divide each side by '5'. X = -0.2 + x Simplifying X = -0.2 + x
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