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Simplifying 4x + 3[7 + 2(x + -3)] = 82 Reorder the terms: 4x + 3[7 + 2(-3 + x)] = 82 4x + 3[7 + (-3 * 2 + x * 2)] = 82 4x + 3[7 + (-6 + 2x)] = 82 Combine like terms: 7 + -6 = 1 4x + 3[1 + 2x] = 82 4x + [1 * 3 + 2x * 3] = 82 4x + [3 + 6x] = 82 Reorder the terms: 3 + 4x + 6x = 82 Combine like terms: 4x + 6x = 10x 3 + 10x = 82 Solving 3 + 10x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 10x = 82 + -3 Combine like terms: 3 + -3 = 0 0 + 10x = 82 + -3 10x = 82 + -3 Combine like terms: 82 + -3 = 79 10x = 79 Divide each side by '10'. x = 7.9 Simplifying x = 7.9
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