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Simplifying -5(x + 6) + -9 = -1 + -6x Reorder the terms: -5(6 + x) + -9 = -1 + -6x (6 * -5 + x * -5) + -9 = -1 + -6x (-30 + -5x) + -9 = -1 + -6x Reorder the terms: -30 + -9 + -5x = -1 + -6x Combine like terms: -30 + -9 = -39 -39 + -5x = -1 + -6x Solving -39 + -5x = -1 + -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. -39 + -5x + 6x = -1 + -6x + 6x Combine like terms: -5x + 6x = 1x -39 + 1x = -1 + -6x + 6x Combine like terms: -6x + 6x = 0 -39 + 1x = -1 + 0 -39 + 1x = -1 Add '39' to each side of the equation. -39 + 39 + 1x = -1 + 39 Combine like terms: -39 + 39 = 0 0 + 1x = -1 + 39 1x = -1 + 39 Combine like terms: -1 + 39 = 38 1x = 38 Divide each side by '1'. x = 38 Simplifying x = 38
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