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Simplifying 14 + -7x = 9(x + 46) Reorder the terms: 14 + -7x = 9(46 + x) 14 + -7x = (46 * 9 + x * 9) 14 + -7x = (414 + 9x) Solving 14 + -7x = 414 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 14 + -7x + -9x = 414 + 9x + -9x Combine like terms: -7x + -9x = -16x 14 + -16x = 414 + 9x + -9x Combine like terms: 9x + -9x = 0 14 + -16x = 414 + 0 14 + -16x = 414 Add '-14' to each side of the equation. 14 + -14 + -16x = 414 + -14 Combine like terms: 14 + -14 = 0 0 + -16x = 414 + -14 -16x = 414 + -14 Combine like terms: 414 + -14 = 400 -16x = 400 Divide each side by '-16'. x = -25 Simplifying x = -25
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