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Simplifying 5(3x + -1) + -8x = 5x + 11 Reorder the terms: 5(-1 + 3x) + -8x = 5x + 11 (-1 * 5 + 3x * 5) + -8x = 5x + 11 (-5 + 15x) + -8x = 5x + 11 Combine like terms: 15x + -8x = 7x -5 + 7x = 5x + 11 Reorder the terms: -5 + 7x = 11 + 5x Solving -5 + 7x = 11 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + 7x + -5x = 11 + 5x + -5x Combine like terms: 7x + -5x = 2x -5 + 2x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + 2x = 11 + 0 -5 + 2x = 11 Add '5' to each side of the equation. -5 + 5 + 2x = 11 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 11 + 5 2x = 11 + 5 Combine like terms: 11 + 5 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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