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Simplifying x + -5 = 28 + -6(x + 9) Reorder the terms: -5 + x = 28 + -6(x + 9) Reorder the terms: -5 + x = 28 + -6(9 + x) -5 + x = 28 + (9 * -6 + x * -6) -5 + x = 28 + (-54 + -6x) Combine like terms: 28 + -54 = -26 -5 + x = -26 + -6x Solving -5 + x = -26 + -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 + x + 6x = -26 + -6x + 6x Combine like terms: x + 6x = 7x -5 + 7x = -26 + -6x + 6x Combine like terms: -6x + 6x = 0 -5 + 7x = -26 + 0 -5 + 7x = -26 Add '5' to each side of the equation. -5 + 5 + 7x = -26 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = -26 + 5 7x = -26 + 5 Combine like terms: -26 + 5 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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