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Simplifying (3x + -5) * 6 = (5x + -7) Reorder the terms: (-5 + 3x) * 6 = (5x + -7) Reorder the terms for easier multiplication: 6(-5 + 3x) = (5x + -7) (-5 * 6 + 3x * 6) = (5x + -7) (-30 + 18x) = (5x + -7) Reorder the terms: -30 + 18x = (-7 + 5x) Remove parenthesis around (-7 + 5x) -30 + 18x = -7 + 5x Solving -30 + 18x = -7 + 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. -30 + 18x + -5x = -7 + 5x + -5x Combine like terms: 18x + -5x = 13x -30 + 13x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -30 + 13x = -7 + 0 -30 + 13x = -7 Add '30' to each side of the equation. -30 + 30 + 13x = -7 + 30 Combine like terms: -30 + 30 = 0 0 + 13x = -7 + 30 13x = -7 + 30 Combine like terms: -7 + 30 = 23 13x = 23 Divide each side by '13'. x = 1.769230769 Simplifying x = 1.769230769
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