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Simplifying 6(x + -5) = -7(x + 8) Reorder the terms: 6(-5 + x) = -7(x + 8) (-5 * 6 + x * 6) = -7(x + 8) (-30 + 6x) = -7(x + 8) Reorder the terms: -30 + 6x = -7(8 + x) -30 + 6x = (8 * -7 + x * -7) -30 + 6x = (-56 + -7x) Solving -30 + 6x = -56 + -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. -30 + 6x + 7x = -56 + -7x + 7x Combine like terms: 6x + 7x = 13x -30 + 13x = -56 + -7x + 7x Combine like terms: -7x + 7x = 0 -30 + 13x = -56 + 0 -30 + 13x = -56 Add '30' to each side of the equation. -30 + 30 + 13x = -56 + 30 Combine like terms: -30 + 30 = 0 0 + 13x = -56 + 30 13x = -56 + 30 Combine like terms: -56 + 30 = -26 13x = -26 Divide each side by '13'. x = -2 Simplifying x = -2
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