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Simplifying 5x + 2[3 + -2(x + 1)] = 6 Reorder the terms: 5x + 2[3 + -2(1 + x)] = 6 5x + 2[3 + (1 * -2 + x * -2)] = 6 5x + 2[3 + (-2 + -2x)] = 6 Combine like terms: 3 + -2 = 1 5x + 2[1 + -2x] = 6 5x + [1 * 2 + -2x * 2] = 6 5x + [2 + -4x] = 6 Reorder the terms: 2 + 5x + -4x = 6 Combine like terms: 5x + -4x = 1x 2 + 1x = 6 Solving 2 + 1x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 6 + -2 1x = 6 + -2 Combine like terms: 6 + -2 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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