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Simplifying 100 = x(10) + (5)(20) + (2)(30) Reorder the terms for easier multiplication: 100 = 10x + (5)(20) + (2)(30) Multiply 5 * 20 100 = 10x + 100 + (2)(30) Multiply 2 * 30 100 = 10x + 100 + 60 Reorder the terms: 100 = 100 + 60 + 10x Combine like terms: 100 + 60 = 160 100 = 160 + 10x Solving 100 = 160 + 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 = 160 + 10x + -10x Combine like terms: 10x + -10x = 0 100 + -10x = 160 + 0 100 + -10x = 160 Add '-100' to each side of the equation. 100 + -100 + -10x = 160 + -100 Combine like terms: 100 + -100 = 0 0 + -10x = 160 + -100 -10x = 160 + -100 Combine like terms: 160 + -100 = 60 -10x = 60 Divide each side by '-10'. x = -6 Simplifying x = -6
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