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Simplifying 4x + 171 = 14x + -9 Reorder the terms: 171 + 4x = 14x + -9 Reorder the terms: 171 + 4x = -9 + 14x Solving 171 + 4x = -9 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 171 + 4x + -14x = -9 + 14x + -14x Combine like terms: 4x + -14x = -10x 171 + -10x = -9 + 14x + -14x Combine like terms: 14x + -14x = 0 171 + -10x = -9 + 0 171 + -10x = -9 Add '-171' to each side of the equation. 171 + -171 + -10x = -9 + -171 Combine like terms: 171 + -171 = 0 0 + -10x = -9 + -171 -10x = -9 + -171 Combine like terms: -9 + -171 = -180 -10x = -180 Divide each side by '-10'. x = 18 Simplifying x = 18
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