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Simplifying x + (x + -6) + 3(x + -6) = 101 Reorder the terms: x + (-6 + x) + 3(x + -6) = 101 Remove parenthesis around (-6 + x) x + -6 + x + 3(x + -6) = 101 Reorder the terms: x + -6 + x + 3(-6 + x) = 101 x + -6 + x + (-6 * 3 + x * 3) = 101 x + -6 + x + (-18 + 3x) = 101 Reorder the terms: -6 + -18 + x + x + 3x = 101 Combine like terms: -6 + -18 = -24 -24 + x + x + 3x = 101 Combine like terms: x + x = 2x -24 + 2x + 3x = 101 Combine like terms: 2x + 3x = 5x -24 + 5x = 101 Solving -24 + 5x = 101 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 5x = 101 + 24 Combine like terms: -24 + 24 = 0 0 + 5x = 101 + 24 5x = 101 + 24 Combine like terms: 101 + 24 = 125 5x = 125 Divide each side by '5'. x = 25 Simplifying x = 25
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