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Simplifying 4x + -1[2x + -1(3x + -7)] + 2x = 21 Reorder the terms: 4x + -1[2x + -1(-7 + 3x)] + 2x = 21 4x + -1[2x + (-7 * -1 + 3x * -1)] + 2x = 21 4x + -1[2x + (7 + -3x)] + 2x = 21 Reorder the terms: 4x + -1[7 + 2x + -3x] + 2x = 21 Combine like terms: 2x + -3x = -1x 4x + -1[7 + -1x] + 2x = 21 4x + [7 * -1 + -1x * -1] + 2x = 21 4x + [-7 + 1x] + 2x = 21 Reorder the terms: -7 + 4x + 1x + 2x = 21 Combine like terms: 4x + 1x = 5x -7 + 5x + 2x = 21 Combine like terms: 5x + 2x = 7x -7 + 7x = 21 Solving -7 + 7x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 7x = 21 + 7 Combine like terms: -7 + 7 = 0 0 + 7x = 21 + 7 7x = 21 + 7 Combine like terms: 21 + 7 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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