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Simplifying 2(5x + -13) = 3(x + 11) Reorder the terms: 2(-13 + 5x) = 3(x + 11) (-13 * 2 + 5x * 2) = 3(x + 11) (-26 + 10x) = 3(x + 11) Reorder the terms: -26 + 10x = 3(11 + x) -26 + 10x = (11 * 3 + x * 3) -26 + 10x = (33 + 3x) Solving -26 + 10x = 33 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -26 + 10x + -3x = 33 + 3x + -3x Combine like terms: 10x + -3x = 7x -26 + 7x = 33 + 3x + -3x Combine like terms: 3x + -3x = 0 -26 + 7x = 33 + 0 -26 + 7x = 33 Add '26' to each side of the equation. -26 + 26 + 7x = 33 + 26 Combine like terms: -26 + 26 = 0 0 + 7x = 33 + 26 7x = 33 + 26 Combine like terms: 33 + 26 = 59 7x = 59 Divide each side by '7'. x = 8.428571429 Simplifying x = 8.428571429
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