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Simplifying 2(x + 21) = 5x + 21 Reorder the terms: 2(21 + x) = 5x + 21 (21 * 2 + x * 2) = 5x + 21 (42 + 2x) = 5x + 21 Reorder the terms: 42 + 2x = 21 + 5x Solving 42 + 2x = 21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 42 + 2x + -5x = 21 + 5x + -5x Combine like terms: 2x + -5x = -3x 42 + -3x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 42 + -3x = 21 + 0 42 + -3x = 21 Add '-42' to each side of the equation. 42 + -42 + -3x = 21 + -42 Combine like terms: 42 + -42 = 0 0 + -3x = 21 + -42 -3x = 21 + -42 Combine like terms: 21 + -42 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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