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Simplifying -9(5x + 6) + -6x + 1 = 51x + -53 Reorder the terms: -9(6 + 5x) + -6x + 1 = 51x + -53 (6 * -9 + 5x * -9) + -6x + 1 = 51x + -53 (-54 + -45x) + -6x + 1 = 51x + -53 Reorder the terms: -54 + 1 + -45x + -6x = 51x + -53 Combine like terms: -54 + 1 = -53 -53 + -45x + -6x = 51x + -53 Combine like terms: -45x + -6x = -51x -53 + -51x = 51x + -53 Reorder the terms: -53 + -51x = -53 + 51x Add '53' to each side of the equation. -53 + 53 + -51x = -53 + 53 + 51x Combine like terms: -53 + 53 = 0 0 + -51x = -53 + 53 + 51x -51x = -53 + 53 + 51x Combine like terms: -53 + 53 = 0 -51x = 0 + 51x -51x = 51x Solving -51x = 51x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51x' to each side of the equation. -51x + -51x = 51x + -51x Combine like terms: -51x + -51x = -102x -102x = 51x + -51x Combine like terms: 51x + -51x = 0 -102x = 0 Divide each side by '-102'. x = 0 Simplifying x = 0
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