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Simplifying -5(3x + 2) + 6x = 71 Reorder the terms: -5(2 + 3x) + 6x = 71 (2 * -5 + 3x * -5) + 6x = 71 (-10 + -15x) + 6x = 71 Combine like terms: -15x + 6x = -9x -10 + -9x = 71 Solving -10 + -9x = 71 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -9x = 71 + 10 Combine like terms: -10 + 10 = 0 0 + -9x = 71 + 10 -9x = 71 + 10 Combine like terms: 71 + 10 = 81 -9x = 81 Divide each side by '-9'. x = -9 Simplifying x = -9
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