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Simplifying 5x + -1(2x + 13) = 2(11 + -1x) Reorder the terms: 5x + -1(13 + 2x) = 2(11 + -1x) 5x + (13 * -1 + 2x * -1) = 2(11 + -1x) 5x + (-13 + -2x) = 2(11 + -1x) Reorder the terms: -13 + 5x + -2x = 2(11 + -1x) Combine like terms: 5x + -2x = 3x -13 + 3x = 2(11 + -1x) -13 + 3x = (11 * 2 + -1x * 2) -13 + 3x = (22 + -2x) Solving -13 + 3x = 22 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -13 + 3x + 2x = 22 + -2x + 2x Combine like terms: 3x + 2x = 5x -13 + 5x = 22 + -2x + 2x Combine like terms: -2x + 2x = 0 -13 + 5x = 22 + 0 -13 + 5x = 22 Add '13' to each side of the equation. -13 + 13 + 5x = 22 + 13 Combine like terms: -13 + 13 = 0 0 + 5x = 22 + 13 5x = 22 + 13 Combine like terms: 22 + 13 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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