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Simplifying 2x + -3x + -21 = 4x + -6x + -1 Reorder the terms: -21 + 2x + -3x = 4x + -6x + -1 Combine like terms: 2x + -3x = -1x -21 + -1x = 4x + -6x + -1 Reorder the terms: -21 + -1x = -1 + 4x + -6x Combine like terms: 4x + -6x = -2x -21 + -1x = -1 + -2x Solving -21 + -1x = -1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -21 + -1x + 2x = -1 + -2x + 2x Combine like terms: -1x + 2x = 1x -21 + 1x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 -21 + 1x = -1 + 0 -21 + 1x = -1 Add '21' to each side of the equation. -21 + 21 + 1x = -1 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = -1 + 21 1x = -1 + 21 Combine like terms: -1 + 21 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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