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Simplifying 7x + 8x + 100 = 20x + -100 Reorder the terms: 100 + 7x + 8x = 20x + -100 Combine like terms: 7x + 8x = 15x 100 + 15x = 20x + -100 Reorder the terms: 100 + 15x = -100 + 20x Solving 100 + 15x = -100 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 100 + 15x + -20x = -100 + 20x + -20x Combine like terms: 15x + -20x = -5x 100 + -5x = -100 + 20x + -20x Combine like terms: 20x + -20x = 0 100 + -5x = -100 + 0 100 + -5x = -100 Add '-100' to each side of the equation. 100 + -100 + -5x = -100 + -100 Combine like terms: 100 + -100 = 0 0 + -5x = -100 + -100 -5x = -100 + -100 Combine like terms: -100 + -100 = -200 -5x = -200 Divide each side by '-5'. x = 40 Simplifying x = 40
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