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Simplifying 8x + -1(13 + -5x) = 11(-3x + 1) 8x + (13 * -1 + -5x * -1) = 11(-3x + 1) 8x + (-13 + 5x) = 11(-3x + 1) Reorder the terms: -13 + 8x + 5x = 11(-3x + 1) Combine like terms: 8x + 5x = 13x -13 + 13x = 11(-3x + 1) Reorder the terms: -13 + 13x = 11(1 + -3x) -13 + 13x = (1 * 11 + -3x * 11) -13 + 13x = (11 + -33x) Solving -13 + 13x = 11 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. -13 + 13x + 33x = 11 + -33x + 33x Combine like terms: 13x + 33x = 46x -13 + 46x = 11 + -33x + 33x Combine like terms: -33x + 33x = 0 -13 + 46x = 11 + 0 -13 + 46x = 11 Add '13' to each side of the equation. -13 + 13 + 46x = 11 + 13 Combine like terms: -13 + 13 = 0 0 + 46x = 11 + 13 46x = 11 + 13 Combine like terms: 11 + 13 = 24 46x = 24 Divide each side by '46'. x = 0.5217391304 Simplifying x = 0.5217391304
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