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Simplifying 3x + 4x + 2(-3x + 10) = 14 Reorder the terms: 3x + 4x + 2(10 + -3x) = 14 3x + 4x + (10 * 2 + -3x * 2) = 14 3x + 4x + (20 + -6x) = 14 Reorder the terms: 20 + 3x + 4x + -6x = 14 Combine like terms: 3x + 4x = 7x 20 + 7x + -6x = 14 Combine like terms: 7x + -6x = 1x 20 + 1x = 14 Solving 20 + 1x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 1x = 14 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = 14 + -20 1x = 14 + -20 Combine like terms: 14 + -20 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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