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Simplifying 14 = -5(4x + 2) + 21x Reorder the terms: 14 = -5(2 + 4x) + 21x 14 = (2 * -5 + 4x * -5) + 21x 14 = (-10 + -20x) + 21x Combine like terms: -20x + 21x = 1x 14 = -10 + 1x Solving 14 = -10 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 14 + -1x = -10 + 1x + -1x Combine like terms: 1x + -1x = 0 14 + -1x = -10 + 0 14 + -1x = -10 Add '-14' to each side of the equation. 14 + -14 + -1x = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = -10 + -14 -1x = -10 + -14 Combine like terms: -10 + -14 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24
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