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Simplifying 5(x + -2) = 71 + -4x Reorder the terms: 5(-2 + x) = 71 + -4x (-2 * 5 + x * 5) = 71 + -4x (-10 + 5x) = 71 + -4x Solving -10 + 5x = 71 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -10 + 5x + 4x = 71 + -4x + 4x Combine like terms: 5x + 4x = 9x -10 + 9x = 71 + -4x + 4x Combine like terms: -4x + 4x = 0 -10 + 9x = 71 + 0 -10 + 9x = 71 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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