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Simplifying 5[x + -2] = 2[10 + x] Reorder the terms: 5[-2 + x] = 2[10 + x] [-2 * 5 + x * 5] = 2[10 + x] [-10 + 5x] = 2[10 + x] -10 + 5x = [10 * 2 + x * 2] -10 + 5x = [20 + 2x] Solving -10 + 5x = 20 + 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 = 20 + 2x + -2x Combine like terms: 5x + -2x = 3x -10 + 3x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 3x = 20 + 0 -10 + 3x = 20 Add '10' to each side of the equation. -10 + 10 + 3x = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 20 + 10 3x = 20 + 10 Combine like terms: 20 + 10 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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