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Simplifying 21 + 2x + 8 + 21 = 27 * 27 + x Reorder the terms: 21 + 8 + 21 + 2x = 27 * 27 + x Combine like terms: 21 + 8 = 29 29 + 21 + 2x = 27 * 27 + x Combine like terms: 29 + 21 = 50 50 + 2x = 27 * 27 + x Multiply 27 * 27 50 + 2x = 729 + x Solving 50 + 2x = 729 + x 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. 50 + 2x + -1x = 729 + x + -1x Combine like terms: 2x + -1x = 1x 50 + 1x = 729 + x + -1x Combine like terms: x + -1x = 0 50 + 1x = 729 + 0 50 + 1x = 729 Add '-50' to each side of the equation. 50 + -50 + 1x = 729 + -50 Combine like terms: 50 + -50 = 0 0 + 1x = 729 + -50 1x = 729 + -50 Combine like terms: 729 + -50 = 679 1x = 679 Divide each side by '1'. x = 679 Simplifying x = 679
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