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Simplifying 14 + 3x = 2[2x + -10] Reorder the terms: 14 + 3x = 2[-10 + 2x] 14 + 3x = [-10 * 2 + 2x * 2] 14 + 3x = [-20 + 4x] Solving 14 + 3x = -20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 14 + 3x + -4x = -20 + 4x + -4x Combine like terms: 3x + -4x = -1x 14 + -1x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + -1x = -20 + 0 14 + -1x = -20 Add '-14' to each side of the equation. 14 + -14 + -1x = -20 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = -20 + -14 -1x = -20 + -14 Combine like terms: -20 + -14 = -34 -1x = -34 Divide each side by '-1'. x = 34 Simplifying x = 34
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