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Simplifying 4x + 6x + 21 = 4x + 27 Reorder the terms: 21 + 4x + 6x = 4x + 27 Combine like terms: 4x + 6x = 10x 21 + 10x = 4x + 27 Reorder the terms: 21 + 10x = 27 + 4x Solving 21 + 10x = 27 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 21 + 10x + -4x = 27 + 4x + -4x Combine like terms: 10x + -4x = 6x 21 + 6x = 27 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + 6x = 27 + 0 21 + 6x = 27 Add '-21' to each side of the equation. 21 + -21 + 6x = 27 + -21 Combine like terms: 21 + -21 = 0 0 + 6x = 27 + -21 6x = 27 + -21 Combine like terms: 27 + -21 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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