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Simplifying 2(x + 5) + 9 = 21 + -5(x + 1) Reorder the terms: 2(5 + x) + 9 = 21 + -5(x + 1) (5 * 2 + x * 2) + 9 = 21 + -5(x + 1) (10 + 2x) + 9 = 21 + -5(x + 1) Reorder the terms: 10 + 9 + 2x = 21 + -5(x + 1) Combine like terms: 10 + 9 = 19 19 + 2x = 21 + -5(x + 1) Reorder the terms: 19 + 2x = 21 + -5(1 + x) 19 + 2x = 21 + (1 * -5 + x * -5) 19 + 2x = 21 + (-5 + -5x) Combine like terms: 21 + -5 = 16 19 + 2x = 16 + -5x Solving 19 + 2x = 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. 19 + 2x + 5x = 16 + -5x + 5x Combine like terms: 2x + 5x = 7x 19 + 7x = 16 + -5x + 5x Combine like terms: -5x + 5x = 0 19 + 7x = 16 + 0 19 + 7x = 16 Add '-19' to each side of the equation. 19 + -19 + 7x = 16 + -19 Combine like terms: 19 + -19 = 0 0 + 7x = 16 + -19 7x = 16 + -19 Combine like terms: 16 + -19 = -3 7x = -3 Divide each side by '7'. x = -0.4285714286 Simplifying x = -0.4285714286
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