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Simplifying 7[2x + 1] = 4[3x + 7] Reorder the terms: 7[1 + 2x] = 4[3x + 7] [1 * 7 + 2x * 7] = 4[3x + 7] [7 + 14x] = 4[3x + 7] Reorder the terms: 7 + 14x = 4[7 + 3x] 7 + 14x = [7 * 4 + 3x * 4] 7 + 14x = [28 + 12x] Solving 7 + 14x = 28 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 7 + 14x + -12x = 28 + 12x + -12x Combine like terms: 14x + -12x = 2x 7 + 2x = 28 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + 2x = 28 + 0 7 + 2x = 28 Add '-7' to each side of the equation. 7 + -7 + 2x = 28 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 28 + -7 2x = 28 + -7 Combine like terms: 28 + -7 = 21 2x = 21 Divide each side by '2'. x = 10.5 Simplifying x = 10.5
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