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Simplifying 2[5x + 7] = 3[7 + x] Reorder the terms: 2[7 + 5x] = 3[7 + x] [7 * 2 + 5x * 2] = 3[7 + x] [14 + 10x] = 3[7 + x] 14 + 10x = [7 * 3 + x * 3] 14 + 10x = [21 + 3x] Solving 14 + 10x = 21 + 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. 14 + 10x + -3x = 21 + 3x + -3x Combine like terms: 10x + -3x = 7x 14 + 7x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + 7x = 21 + 0 14 + 7x = 21 Add '-14' to each side of the equation. 14 + -14 + 7x = 21 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = 21 + -14 7x = 21 + -14 Combine like terms: 21 + -14 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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