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Simplifying (7 + -5x) + -1(8 + -4x) + (5x + 6) = 8 Remove parenthesis around (7 + -5x) 7 + -5x + -1(8 + -4x) + (5x + 6) = 8 7 + -5x + (8 * -1 + -4x * -1) + (5x + 6) = 8 7 + -5x + (-8 + 4x) + (5x + 6) = 8 Reorder the terms: 7 + -5x + -8 + 4x + (6 + 5x) = 8 Remove parenthesis around (6 + 5x) 7 + -5x + -8 + 4x + 6 + 5x = 8 Reorder the terms: 7 + -8 + 6 + -5x + 4x + 5x = 8 Combine like terms: 7 + -8 = -1 -1 + 6 + -5x + 4x + 5x = 8 Combine like terms: -1 + 6 = 5 5 + -5x + 4x + 5x = 8 Combine like terms: -5x + 4x = -1x 5 + -1x + 5x = 8 Combine like terms: -1x + 5x = 4x 5 + 4x = 8 Solving 5 + 4x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 8 + -5 4x = 8 + -5 Combine like terms: 8 + -5 = 3 4x = 3 Divide each side by '4'. x = 0.75 Simplifying x = 0.75
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