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Simplifying 2x = 100 + -1(x + (2x + 5)) Reorder the terms: 2x = 100 + -1(x + (5 + 2x)) Remove parenthesis around (5 + 2x) 2x = 100 + -1(x + 5 + 2x) Reorder the terms: 2x = 100 + -1(5 + x + 2x) Combine like terms: x + 2x = 3x 2x = 100 + -1(5 + 3x) 2x = 100 + (5 * -1 + 3x * -1) 2x = 100 + (-5 + -3x) Combine like terms: 100 + -5 = 95 2x = 95 + -3x Solving 2x = 95 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2x + 3x = 95 + -3x + 3x Combine like terms: 2x + 3x = 5x 5x = 95 + -3x + 3x Combine like terms: -3x + 3x = 0 5x = 95 + 0 5x = 95 Divide each side by '5'. x = 19 Simplifying x = 19
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