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Simplifying -6(x + 7) = -3(x + -9) Reorder the terms: -6(7 + x) = -3(x + -9) (7 * -6 + x * -6) = -3(x + -9) (-42 + -6x) = -3(x + -9) Reorder the terms: -42 + -6x = -3(-9 + x) -42 + -6x = (-9 * -3 + x * -3) -42 + -6x = (27 + -3x) Solving -42 + -6x = 27 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -42 + -6x + 3x = 27 + -3x + 3x Combine like terms: -6x + 3x = -3x -42 + -3x = 27 + -3x + 3x Combine like terms: -3x + 3x = 0 -42 + -3x = 27 + 0 -42 + -3x = 27 Add '42' to each side of the equation. -42 + 42 + -3x = 27 + 42 Combine like terms: -42 + 42 = 0 0 + -3x = 27 + 42 -3x = 27 + 42 Combine like terms: 27 + 42 = 69 -3x = 69 Divide each side by '-3'. x = -23 Simplifying x = -23
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