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Simplifying 3(2x + -5) = -7(x + 5) Reorder the terms: 3(-5 + 2x) = -7(x + 5) (-5 * 3 + 2x * 3) = -7(x + 5) (-15 + 6x) = -7(x + 5) Reorder the terms: -15 + 6x = -7(5 + x) -15 + 6x = (5 * -7 + x * -7) -15 + 6x = (-35 + -7x) Solving -15 + 6x = -35 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -15 + 6x + 7x = -35 + -7x + 7x Combine like terms: 6x + 7x = 13x -15 + 13x = -35 + -7x + 7x Combine like terms: -7x + 7x = 0 -15 + 13x = -35 + 0 -15 + 13x = -35 Add '15' to each side of the equation. -15 + 15 + 13x = -35 + 15 Combine like terms: -15 + 15 = 0 0 + 13x = -35 + 15 13x = -35 + 15 Combine like terms: -35 + 15 = -20 13x = -20 Divide each side by '13'. x = -1.538461538 Simplifying x = -1.538461538
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