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Simplifying 10[x + 2] = 4[x + 8] Reorder the terms: 10[2 + x] = 4[x + 8] [2 * 10 + x * 10] = 4[x + 8] [20 + 10x] = 4[x + 8] Reorder the terms: 20 + 10x = 4[8 + x] 20 + 10x = [8 * 4 + x * 4] 20 + 10x = [32 + 4x] Solving 20 + 10x = 32 + 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. 20 + 10x + -4x = 32 + 4x + -4x Combine like terms: 10x + -4x = 6x 20 + 6x = 32 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + 6x = 32 + 0 20 + 6x = 32 Add '-20' to each side of the equation. 20 + -20 + 6x = 32 + -20 Combine like terms: 20 + -20 = 0 0 + 6x = 32 + -20 6x = 32 + -20 Combine like terms: 32 + -20 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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