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Simplifying 5(x + -11) + -3x + 40 = 71 Reorder the terms: 5(-11 + x) + -3x + 40 = 71 (-11 * 5 + x * 5) + -3x + 40 = 71 (-55 + 5x) + -3x + 40 = 71 Reorder the terms: -55 + 40 + 5x + -3x = 71 Combine like terms: -55 + 40 = -15 -15 + 5x + -3x = 71 Combine like terms: 5x + -3x = 2x -15 + 2x = 71 Solving -15 + 2x = 71 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 2x = 71 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = 71 + 15 2x = 71 + 15 Combine like terms: 71 + 15 = 86 2x = 86 Divide each side by '2'. x = 43 Simplifying x = 43
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