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Simplifying 4x + 35 = 14x + 45 Reorder the terms: 35 + 4x = 14x + 45 Reorder the terms: 35 + 4x = 45 + 14x Solving 35 + 4x = 45 + 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. 35 + 4x + -14x = 45 + 14x + -14x Combine like terms: 4x + -14x = -10x 35 + -10x = 45 + 14x + -14x Combine like terms: 14x + -14x = 0 35 + -10x = 45 + 0 35 + -10x = 45 Add '-35' to each side of the equation. 35 + -35 + -10x = 45 + -35 Combine like terms: 35 + -35 = 0 0 + -10x = 45 + -35 -10x = 45 + -35 Combine like terms: 45 + -35 = 10 -10x = 10 Divide each side by '-10'. x = -1 Simplifying x = -1
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