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Simplifying 5(x + -2) + 6x + -4 = 41 Reorder the terms: 5(-2 + x) + 6x + -4 = 41 (-2 * 5 + x * 5) + 6x + -4 = 41 (-10 + 5x) + 6x + -4 = 41 Reorder the terms: -10 + -4 + 5x + 6x = 41 Combine like terms: -10 + -4 = -14 -14 + 5x + 6x = 41 Combine like terms: 5x + 6x = 11x -14 + 11x = 41 Solving -14 + 11x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 11x = 41 + 14 Combine like terms: -14 + 14 = 0 0 + 11x = 41 + 14 11x = 41 + 14 Combine like terms: 41 + 14 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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