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Simplifying x + (x + -6) + ((x + -6) * 3) = 71 Reorder the terms: x + (-6 + x) + ((x + -6) * 3) = 71 Remove parenthesis around (-6 + x) x + -6 + x + ((x + -6) * 3) = 71 Reorder the terms: x + -6 + x + ((-6 + x) * 3) = 71 Reorder the terms for easier multiplication: x + -6 + x + (3(-6 + x)) = 71 x + -6 + x + ((-6 * 3 + x * 3)) = 71 x + -6 + x + ((-18 + 3x)) = 71 x + -6 + x + (-18 + 3x) = 71 Remove parenthesis around (-18 + 3x) x + -6 + x + -18 + 3x = 71 Reorder the terms: -6 + -18 + x + x + 3x = 71 Combine like terms: -6 + -18 = -24 -24 + x + x + 3x = 71 Combine like terms: x + x = 2x -24 + 2x + 3x = 71 Combine like terms: 2x + 3x = 5x -24 + 5x = 71 Solving -24 + 5x = 71 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 = 71 + 24 Combine like terms: -24 + 24 = 0 0 + 5x = 71 + 24 5x = 71 + 24 Combine like terms: 71 + 24 = 95 5x = 95 Divide each side by '5'. x = 19 Simplifying x = 19
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