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Simplifying 5x + 100 = 2x + 10 Reorder the terms: 100 + 5x = 2x + 10 Reorder the terms: 100 + 5x = 10 + 2x Solving 100 + 5x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 100 + 5x + -2x = 10 + 2x + -2x Combine like terms: 5x + -2x = 3x 100 + 3x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 100 + 3x = 10 + 0 100 + 3x = 10 Add '-100' to each side of the equation. 100 + -100 + 3x = 10 + -100 Combine like terms: 100 + -100 = 0 0 + 3x = 10 + -100 3x = 10 + -100 Combine like terms: 10 + -100 = -90 3x = -90 Divide each side by '3'. x = -30 Simplifying x = -30
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