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Simplifying 14x + 45 = 24x + -55 Reorder the terms: 45 + 14x = 24x + -55 Reorder the terms: 45 + 14x = -55 + 24x Solving 45 + 14x = -55 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 45 + 14x + -24x = -55 + 24x + -24x Combine like terms: 14x + -24x = -10x 45 + -10x = -55 + 24x + -24x Combine like terms: 24x + -24x = 0 45 + -10x = -55 + 0 45 + -10x = -55 Add '-45' to each side of the equation. 45 + -45 + -10x = -55 + -45 Combine like terms: 45 + -45 = 0 0 + -10x = -55 + -45 -10x = -55 + -45 Combine like terms: -55 + -45 = -100 -10x = -100 Divide each side by '-10'. x = 10 Simplifying x = 10
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