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