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Simplifying 4x + 2x + 1 = 2x + -1x + 21 Reorder the terms: 1 + 4x + 2x = 2x + -1x + 21 Combine like terms: 4x + 2x = 6x 1 + 6x = 2x + -1x + 21 Reorder the terms: 1 + 6x = 21 + 2x + -1x Combine like terms: 2x + -1x = 1x 1 + 6x = 21 + 1x Solving 1 + 6x = 21 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + 6x + -1x = 21 + 1x + -1x Combine like terms: 6x + -1x = 5x 1 + 5x = 21 + 1x + -1x Combine like terms: 1x + -1x = 0 1 + 5x = 21 + 0 1 + 5x = 21 Add '-1' to each side of the equation. 1 + -1 + 5x = 21 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 21 + -1 5x = 21 + -1 Combine like terms: 21 + -1 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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