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Simplifying 2(3x + 5) = 21 + -5(1 + -1x) Reorder the terms: 2(5 + 3x) = 21 + -5(1 + -1x) (5 * 2 + 3x * 2) = 21 + -5(1 + -1x) (10 + 6x) = 21 + -5(1 + -1x) 10 + 6x = 21 + (1 * -5 + -1x * -5) 10 + 6x = 21 + (-5 + 5x) Combine like terms: 21 + -5 = 16 10 + 6x = 16 + 5x Solving 10 + 6x = 16 + 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. 10 + 6x + -5x = 16 + 5x + -5x Combine like terms: 6x + -5x = 1x 10 + 1x = 16 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + 1x = 16 + 0 10 + 1x = 16 Add '-10' to each side of the equation. 10 + -10 + 1x = 16 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 16 + -10 1x = 16 + -10 Combine like terms: 16 + -10 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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