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Simplifying 5(x + 7) + (3x + -1) = 20 Reorder the terms: 5(7 + x) + (3x + -1) = 20 (7 * 5 + x * 5) + (3x + -1) = 20 (35 + 5x) + (3x + -1) = 20 Reorder the terms: 35 + 5x + (-1 + 3x) = 20 Remove parenthesis around (-1 + 3x) 35 + 5x + -1 + 3x = 20 Reorder the terms: 35 + -1 + 5x + 3x = 20 Combine like terms: 35 + -1 = 34 34 + 5x + 3x = 20 Combine like terms: 5x + 3x = 8x 34 + 8x = 20 Solving 34 + 8x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 8x = 20 + -34 Combine like terms: 34 + -34 = 0 0 + 8x = 20 + -34 8x = 20 + -34 Combine like terms: 20 + -34 = -14 8x = -14 Divide each side by '8'. x = -1.75 Simplifying x = -1.75
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