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Simplifying 5[x + 2] = 3[x + 8] Reorder the terms: 5[2 + x] = 3[x + 8] [2 * 5 + x * 5] = 3[x + 8] [10 + 5x] = 3[x + 8] Reorder the terms: 10 + 5x = 3[8 + x] 10 + 5x = [8 * 3 + x * 3] 10 + 5x = [24 + 3x] Solving 10 + 5x = 24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + 5x + -3x = 24 + 3x + -3x Combine like terms: 5x + -3x = 2x 10 + 2x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 2x = 24 + 0 10 + 2x = 24 Add '-10' to each side of the equation. 10 + -10 + 2x = 24 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 24 + -10 2x = 24 + -10 Combine like terms: 24 + -10 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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