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Simplifying -3(5x + 9) = 7(2x + -6) Reorder the terms: -3(9 + 5x) = 7(2x + -6) (9 * -3 + 5x * -3) = 7(2x + -6) (-27 + -15x) = 7(2x + -6) Reorder the terms: -27 + -15x = 7(-6 + 2x) -27 + -15x = (-6 * 7 + 2x * 7) -27 + -15x = (-42 + 14x) Solving -27 + -15x = -42 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -27 + -15x + -14x = -42 + 14x + -14x Combine like terms: -15x + -14x = -29x -27 + -29x = -42 + 14x + -14x Combine like terms: 14x + -14x = 0 -27 + -29x = -42 + 0 -27 + -29x = -42 Add '27' to each side of the equation. -27 + 27 + -29x = -42 + 27 Combine like terms: -27 + 27 = 0 0 + -29x = -42 + 27 -29x = -42 + 27 Combine like terms: -42 + 27 = -15 -29x = -15 Divide each side by '-29'. x = 0.5172413793 Simplifying x = 0.5172413793
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