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Simplifying (3x + 1) + -1(5x + -7) = 0 Reorder the terms: (1 + 3x) + -1(5x + -7) = 0 Remove parenthesis around (1 + 3x) 1 + 3x + -1(5x + -7) = 0 Reorder the terms: 1 + 3x + -1(-7 + 5x) = 0 1 + 3x + (-7 * -1 + 5x * -1) = 0 1 + 3x + (7 + -5x) = 0 Reorder the terms: 1 + 7 + 3x + -5x = 0 Combine like terms: 1 + 7 = 8 8 + 3x + -5x = 0 Combine like terms: 3x + -5x = -2x 8 + -2x = 0 Solving 8 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -2x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 0 + -8 -2x = 0 + -8 Combine like terms: 0 + -8 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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