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Simplifying 5x + (2x + -8 + x) = 3x + (7 + -5x + 8x) + 8 Reorder the terms: 5x + (-8 + 2x + x) = 3x + (7 + -5x + 8x) + 8 Combine like terms: 2x + x = 3x 5x + (-8 + 3x) = 3x + (7 + -5x + 8x) + 8 Remove parenthesis around (-8 + 3x) 5x + -8 + 3x = 3x + (7 + -5x + 8x) + 8 Reorder the terms: -8 + 5x + 3x = 3x + (7 + -5x + 8x) + 8 Combine like terms: 5x + 3x = 8x -8 + 8x = 3x + (7 + -5x + 8x) + 8 Combine like terms: -5x + 8x = 3x -8 + 8x = 3x + (7 + 3x) + 8 Remove parenthesis around (7 + 3x) -8 + 8x = 3x + 7 + 3x + 8 Reorder the terms: -8 + 8x = 7 + 8 + 3x + 3x Combine like terms: 7 + 8 = 15 -8 + 8x = 15 + 3x + 3x Combine like terms: 3x + 3x = 6x -8 + 8x = 15 + 6x Solving -8 + 8x = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 8x + -6x = 15 + 6x + -6x Combine like terms: 8x + -6x = 2x -8 + 2x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 2x = 15 + 0 -8 + 2x = 15 Add '8' to each side of the equation. -8 + 8 + 2x = 15 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 15 + 8 2x = 15 + 8 Combine like terms: 15 + 8 = 23 2x = 23 Divide each side by '2'. x = 11.5 Simplifying x = 11.5
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