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Simplifying 5(x + 2) + 3(-1x + 4) = 2 Reorder the terms: 5(2 + x) + 3(-1x + 4) = 2 (2 * 5 + x * 5) + 3(-1x + 4) = 2 (10 + 5x) + 3(-1x + 4) = 2 Reorder the terms: 10 + 5x + 3(4 + -1x) = 2 10 + 5x + (4 * 3 + -1x * 3) = 2 10 + 5x + (12 + -3x) = 2 Reorder the terms: 10 + 12 + 5x + -3x = 2 Combine like terms: 10 + 12 = 22 22 + 5x + -3x = 2 Combine like terms: 5x + -3x = 2x 22 + 2x = 2 Solving 22 + 2x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 2x = 2 + -22 Combine like terms: 22 + -22 = 0 0 + 2x = 2 + -22 2x = 2 + -22 Combine like terms: 2 + -22 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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