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Simplifying (x + -9) * 5 = 6x Reorder the terms: (-9 + x) * 5 = 6x Reorder the terms for easier multiplication: 5(-9 + x) = 6x (-9 * 5 + x * 5) = 6x (-45 + 5x) = 6x Solving -45 + 5x = 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. -45 + 5x + -6x = 6x + -6x Combine like terms: 5x + -6x = -1x -45 + -1x = 6x + -6x Combine like terms: 6x + -6x = 0 -45 + -1x = 0 Add '45' to each side of the equation. -45 + 45 + -1x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -1x = 0 + 45 -1x = 0 + 45 Combine like terms: 0 + 45 = 45 -1x = 45 Divide each side by '-1'. x = -45 Simplifying x = -45
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