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Simplifying -9 = 6(1 + 6x) + 3(-5 + 6x) -9 = (1 * 6 + 6x * 6) + 3(-5 + 6x) -9 = (6 + 36x) + 3(-5 + 6x) -9 = 6 + 36x + (-5 * 3 + 6x * 3) -9 = 6 + 36x + (-15 + 18x) Reorder the terms: -9 = 6 + -15 + 36x + 18x Combine like terms: 6 + -15 = -9 -9 = -9 + 36x + 18x Combine like terms: 36x + 18x = 54x -9 = -9 + 54x Add '9' to each side of the equation. -9 + 9 = -9 + 9 + 54x Combine like terms: -9 + 9 = 0 0 = -9 + 9 + 54x Combine like terms: -9 + 9 = 0 0 = 0 + 54x 0 = 54x Solving 0 = 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. 0 + -54x = 54x + -54x Remove the zero: -54x = 54x + -54x Combine like terms: 54x + -54x = 0 -54x = 0 Divide each side by '-54'. x = 0 Simplifying x = 0
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