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Simplifying 10x + -100 = 25x + -500 Reorder the terms: -100 + 10x = 25x + -500 Reorder the terms: -100 + 10x = -500 + 25x Solving -100 + 10x = -500 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -100 + 10x + -25x = -500 + 25x + -25x Combine like terms: 10x + -25x = -15x -100 + -15x = -500 + 25x + -25x Combine like terms: 25x + -25x = 0 -100 + -15x = -500 + 0 -100 + -15x = -500 Add '100' to each side of the equation. -100 + 100 + -15x = -500 + 100 Combine like terms: -100 + 100 = 0 0 + -15x = -500 + 100 -15x = -500 + 100 Combine like terms: -500 + 100 = -400 -15x = -400 Divide each side by '-15'. x = 26.66666667 Simplifying x = 26.66666667
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