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Simplifying 14x + 35 = (4x + -9) + -1x Reorder the terms: 35 + 14x = (4x + -9) + -1x Reorder the terms: 35 + 14x = (-9 + 4x) + -1x Remove parenthesis around (-9 + 4x) 35 + 14x = -9 + 4x + -1x Combine like terms: 4x + -1x = 3x 35 + 14x = -9 + 3x Solving 35 + 14x = -9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 35 + 14x + -3x = -9 + 3x + -3x Combine like terms: 14x + -3x = 11x 35 + 11x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 35 + 11x = -9 + 0 35 + 11x = -9 Add '-35' to each side of the equation. 35 + -35 + 11x = -9 + -35 Combine like terms: 35 + -35 = 0 0 + 11x = -9 + -35 11x = -9 + -35 Combine like terms: -9 + -35 = -44 11x = -44 Divide each side by '11'. x = -4 Simplifying x = -4
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