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Simplifying 3(x + 4) + 21(x + -4) = 14 Reorder the terms: 3(4 + x) + 21(x + -4) = 14 (4 * 3 + x * 3) + 21(x + -4) = 14 (12 + 3x) + 21(x + -4) = 14 Reorder the terms: 12 + 3x + 21(-4 + x) = 14 12 + 3x + (-4 * 21 + x * 21) = 14 12 + 3x + (-84 + 21x) = 14 Reorder the terms: 12 + -84 + 3x + 21x = 14 Combine like terms: 12 + -84 = -72 -72 + 3x + 21x = 14 Combine like terms: 3x + 21x = 24x -72 + 24x = 14 Solving -72 + 24x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + 24x = 14 + 72 Combine like terms: -72 + 72 = 0 0 + 24x = 14 + 72 24x = 14 + 72 Combine like terms: 14 + 72 = 86 24x = 86 Divide each side by '24'. x = 3.583333333 Simplifying x = 3.583333333
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