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Simplifying -6(x + -9) = 1 + -5x Reorder the terms: -6(-9 + x) = 1 + -5x (-9 * -6 + x * -6) = 1 + -5x (54 + -6x) = 1 + -5x Solving 54 + -6x = 1 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 54 + -6x + 5x = 1 + -5x + 5x Combine like terms: -6x + 5x = -1x 54 + -1x = 1 + -5x + 5x Combine like terms: -5x + 5x = 0 54 + -1x = 1 + 0 54 + -1x = 1 Add '-54' to each side of the equation. 54 + -54 + -1x = 1 + -54 Combine like terms: 54 + -54 = 0 0 + -1x = 1 + -54 -1x = 1 + -54 Combine like terms: 1 + -54 = -53 -1x = -53 Divide each side by '-1'. x = 53 Simplifying x = 53
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