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Simplifying 2(x + 21 + -10) = x + 54 Reorder the terms: 2(21 + -10 + x) = x + 54 Combine like terms: 21 + -10 = 11 2(11 + x) = x + 54 (11 * 2 + x * 2) = x + 54 (22 + 2x) = x + 54 Reorder the terms: 22 + 2x = 54 + x Solving 22 + 2x = 54 + 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. 22 + 2x + -1x = 54 + x + -1x Combine like terms: 2x + -1x = 1x 22 + 1x = 54 + x + -1x Combine like terms: x + -1x = 0 22 + 1x = 54 + 0 22 + 1x = 54 Add '-22' to each side of the equation. 22 + -22 + 1x = 54 + -22 Combine like terms: 22 + -22 = 0 0 + 1x = 54 + -22 1x = 54 + -22 Combine like terms: 54 + -22 = 32 1x = 32 Divide each side by '1'. x = 32 Simplifying x = 32
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