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Simplifying 21(x + 1) + -14(x + -1) = 12 Reorder the terms: 21(1 + x) + -14(x + -1) = 12 (1 * 21 + x * 21) + -14(x + -1) = 12 (21 + 21x) + -14(x + -1) = 12 Reorder the terms: 21 + 21x + -14(-1 + x) = 12 21 + 21x + (-1 * -14 + x * -14) = 12 21 + 21x + (14 + -14x) = 12 Reorder the terms: 21 + 14 + 21x + -14x = 12 Combine like terms: 21 + 14 = 35 35 + 21x + -14x = 12 Combine like terms: 21x + -14x = 7x 35 + 7x = 12 Solving 35 + 7x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 7x = 12 + -35 Combine like terms: 35 + -35 = 0 0 + 7x = 12 + -35 7x = 12 + -35 Combine like terms: 12 + -35 = -23 7x = -23 Divide each side by '7'. x = -3.285714286 Simplifying x = -3.285714286
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