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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 = -80 -10x = -80 Divide each side by '-10'. x = 8 Simplifying x = 8
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