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Simplifying -6(x + -5) = -9(x + -7) Reorder the terms: -6(-5 + x) = -9(x + -7) (-5 * -6 + x * -6) = -9(x + -7) (30 + -6x) = -9(x + -7) Reorder the terms: 30 + -6x = -9(-7 + x) 30 + -6x = (-7 * -9 + x * -9) 30 + -6x = (63 + -9x) Solving 30 + -6x = 63 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 30 + -6x + 9x = 63 + -9x + 9x Combine like terms: -6x + 9x = 3x 30 + 3x = 63 + -9x + 9x Combine like terms: -9x + 9x = 0 30 + 3x = 63 + 0 30 + 3x = 63 Add '-30' to each side of the equation. 30 + -30 + 3x = 63 + -30 Combine like terms: 30 + -30 = 0 0 + 3x = 63 + -30 3x = 63 + -30 Combine like terms: 63 + -30 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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