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Simplifying 3(x + 2) + 21(x + -2) = 14 Reorder the terms: 3(2 + x) + 21(x + -2) = 14 (2 * 3 + x * 3) + 21(x + -2) = 14 (6 + 3x) + 21(x + -2) = 14 Reorder the terms: 6 + 3x + 21(-2 + x) = 14 6 + 3x + (-2 * 21 + x * 21) = 14 6 + 3x + (-42 + 21x) = 14 Reorder the terms: 6 + -42 + 3x + 21x = 14 Combine like terms: 6 + -42 = -36 -36 + 3x + 21x = 14 Combine like terms: 3x + 21x = 24x -36 + 24x = 14 Solving -36 + 24x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 24x = 14 + 36 Combine like terms: -36 + 36 = 0 0 + 24x = 14 + 36 24x = 14 + 36 Combine like terms: 14 + 36 = 50 24x = 50 Divide each side by '24'. x = 2.083333333 Simplifying x = 2.083333333
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