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Simplifying 36x + -6 = -6 + 6(x + 45) Reorder the terms: -6 + 36x = -6 + 6(x + 45) Reorder the terms: -6 + 36x = -6 + 6(45 + x) -6 + 36x = -6 + (45 * 6 + x * 6) -6 + 36x = -6 + (270 + 6x) Combine like terms: -6 + 270 = 264 -6 + 36x = 264 + 6x Solving -6 + 36x = 264 + 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. -6 + 36x + -6x = 264 + 6x + -6x Combine like terms: 36x + -6x = 30x -6 + 30x = 264 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 30x = 264 + 0 -6 + 30x = 264 Add '6' to each side of the equation. -6 + 6 + 30x = 264 + 6 Combine like terms: -6 + 6 = 0 0 + 30x = 264 + 6 30x = 264 + 6 Combine like terms: 264 + 6 = 270 30x = 270 Divide each side by '30'. x = 9 Simplifying x = 9
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