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Simplifying (5x + 14) = (-4x + 21) Reorder the terms: (14 + 5x) = (-4x + 21) Remove parenthesis around (14 + 5x) 14 + 5x = (-4x + 21) Reorder the terms: 14 + 5x = (21 + -4x) Remove parenthesis around (21 + -4x) 14 + 5x = 21 + -4x Solving 14 + 5x = 21 + -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 + 5x + 4x = 21 + -4x + 4x Combine like terms: 5x + 4x = 9x 14 + 9x = 21 + -4x + 4x Combine like terms: -4x + 4x = 0 14 + 9x = 21 + 0 14 + 9x = 21 Add '-14' to each side of the equation. 14 + -14 + 9x = 21 + -14 Combine like terms: 14 + -14 = 0 0 + 9x = 21 + -14 9x = 21 + -14 Combine like terms: 21 + -14 = 7 9x = 7 Divide each side by '9'. x = 0.7777777778 Simplifying x = 0.7777777778
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