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Simplifying -7(x + -3) = -6(x + -5) Reorder the terms: -7(-3 + x) = -6(x + -5) (-3 * -7 + x * -7) = -6(x + -5) (21 + -7x) = -6(x + -5) Reorder the terms: 21 + -7x = -6(-5 + x) 21 + -7x = (-5 * -6 + x * -6) 21 + -7x = (30 + -6x) Solving 21 + -7x = 30 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 21 + -7x + 6x = 30 + -6x + 6x Combine like terms: -7x + 6x = -1x 21 + -1x = 30 + -6x + 6x Combine like terms: -6x + 6x = 0 21 + -1x = 30 + 0 21 + -1x = 30 Add '-21' to each side of the equation. 21 + -21 + -1x = 30 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = 30 + -21 -1x = 30 + -21 Combine like terms: 30 + -21 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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