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Simplifying 5(x + -2) + 3(2x + -1) = 26 Reorder the terms: 5(-2 + x) + 3(2x + -1) = 26 (-2 * 5 + x * 5) + 3(2x + -1) = 26 (-10 + 5x) + 3(2x + -1) = 26 Reorder the terms: -10 + 5x + 3(-1 + 2x) = 26 -10 + 5x + (-1 * 3 + 2x * 3) = 26 -10 + 5x + (-3 + 6x) = 26 Reorder the terms: -10 + -3 + 5x + 6x = 26 Combine like terms: -10 + -3 = -13 -13 + 5x + 6x = 26 Combine like terms: 5x + 6x = 11x -13 + 11x = 26 Solving -13 + 11x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 11x = 26 + 13 Combine like terms: -13 + 13 = 0 0 + 11x = 26 + 13 11x = 26 + 13 Combine like terms: 26 + 13 = 39 11x = 39 Divide each side by '11'. x = 3.545454545 Simplifying x = 3.545454545
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