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Simplifying 100 + -5x = 2x + 9 Reorder the terms: 100 + -5x = 9 + 2x Solving 100 + -5x = 9 + 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 = 9 + 2x + -2x Combine like terms: -5x + -2x = -7x 100 + -7x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 100 + -7x = 9 + 0 100 + -7x = 9 Add '-100' to each side of the equation. 100 + -100 + -7x = 9 + -100 Combine like terms: 100 + -100 = 0 0 + -7x = 9 + -100 -7x = 9 + -100 Combine like terms: 9 + -100 = -91 -7x = -91 Divide each side by '-7'. x = 13 Simplifying x = 13
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