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Simplifying 6(3x + 7) = 5x + -17 Reorder the terms: 6(7 + 3x) = 5x + -17 (7 * 6 + 3x * 6) = 5x + -17 (42 + 18x) = 5x + -17 Reorder the terms: 42 + 18x = -17 + 5x Solving 42 + 18x = -17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 42 + 18x + -5x = -17 + 5x + -5x Combine like terms: 18x + -5x = 13x 42 + 13x = -17 + 5x + -5x Combine like terms: 5x + -5x = 0 42 + 13x = -17 + 0 42 + 13x = -17 Add '-42' to each side of the equation. 42 + -42 + 13x = -17 + -42 Combine like terms: 42 + -42 = 0 0 + 13x = -17 + -42 13x = -17 + -42 Combine like terms: -17 + -42 = -59 13x = -59 Divide each side by '13'. x = -4.538461538 Simplifying x = -4.538461538
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