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Simplifying 2[5x + 2] = 4[2x + 3] Reorder the terms: 2[2 + 5x] = 4[2x + 3] [2 * 2 + 5x * 2] = 4[2x + 3] [4 + 10x] = 4[2x + 3] Reorder the terms: 4 + 10x = 4[3 + 2x] 4 + 10x = [3 * 4 + 2x * 4] 4 + 10x = [12 + 8x] Solving 4 + 10x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + 10x + -8x = 12 + 8x + -8x Combine like terms: 10x + -8x = 2x 4 + 2x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + 2x = 12 + 0 4 + 2x = 12 Add '-4' to each side of the equation. 4 + -4 + 2x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 12 + -4 2x = 12 + -4 Combine like terms: 12 + -4 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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