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Simplifying 69x + -1782 = 33(21x + -54) Reorder the terms: -1782 + 69x = 33(21x + -54) Reorder the terms: -1782 + 69x = 33(-54 + 21x) -1782 + 69x = (-54 * 33 + 21x * 33) -1782 + 69x = (-1782 + 693x) Add '1782' to each side of the equation. -1782 + 1782 + 69x = -1782 + 1782 + 693x Combine like terms: -1782 + 1782 = 0 0 + 69x = -1782 + 1782 + 693x 69x = -1782 + 1782 + 693x Combine like terms: -1782 + 1782 = 0 69x = 0 + 693x 69x = 693x Solving 69x = 693x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-693x' to each side of the equation. 69x + -693x = 693x + -693x Combine like terms: 69x + -693x = -624x -624x = 693x + -693x Combine like terms: 693x + -693x = 0 -624x = 0 Divide each side by '-624'. x = 0 Simplifying x = 0
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