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Simplifying 21 + -1(x + 5) = 5x + -2 Reorder the terms: 21 + -1(5 + x) = 5x + -2 21 + (5 * -1 + x * -1) = 5x + -2 21 + (-5 + -1x) = 5x + -2 Combine like terms: 21 + -5 = 16 16 + -1x = 5x + -2 Reorder the terms: 16 + -1x = -2 + 5x Solving 16 + -1x = -2 + 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. 16 + -1x + -5x = -2 + 5x + -5x Combine like terms: -1x + -5x = -6x 16 + -6x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 16 + -6x = -2 + 0 16 + -6x = -2 Add '-16' to each side of the equation. 16 + -16 + -6x = -2 + -16 Combine like terms: 16 + -16 = 0 0 + -6x = -2 + -16 -6x = -2 + -16 Combine like terms: -2 + -16 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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