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Simplifying 7x + -5 = -6(x + 3) + -26 Reorder the terms: -5 + 7x = -6(x + 3) + -26 Reorder the terms: -5 + 7x = -6(3 + x) + -26 -5 + 7x = (3 * -6 + x * -6) + -26 -5 + 7x = (-18 + -6x) + -26 Reorder the terms: -5 + 7x = -18 + -26 + -6x Combine like terms: -18 + -26 = -44 -5 + 7x = -44 + -6x Solving -5 + 7x = -44 + -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. -5 + 7x + 6x = -44 + -6x + 6x Combine like terms: 7x + 6x = 13x -5 + 13x = -44 + -6x + 6x Combine like terms: -6x + 6x = 0 -5 + 13x = -44 + 0 -5 + 13x = -44 Add '5' to each side of the equation. -5 + 5 + 13x = -44 + 5 Combine like terms: -5 + 5 = 0 0 + 13x = -44 + 5 13x = -44 + 5 Combine like terms: -44 + 5 = -39 13x = -39 Divide each side by '13'. x = -3 Simplifying x = -3
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