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Simplifying 100 = 5(2x + 9) Reorder the terms: 100 = 5(9 + 2x) 100 = (9 * 5 + 2x * 5) 100 = (45 + 10x) Solving 100 = 45 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 100 + -10x = 45 + 10x + -10x Combine like terms: 10x + -10x = 0 100 + -10x = 45 + 0 100 + -10x = 45 Add '-100' to each side of the equation. 100 + -100 + -10x = 45 + -100 Combine like terms: 100 + -100 = 0 0 + -10x = 45 + -100 -10x = 45 + -100 Combine like terms: 45 + -100 = -55 -10x = -55 Divide each side by '-10'. x = 5.5 Simplifying x = 5.5
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