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Simplifying -402 = 6x + -5(-6x + -6) Reorder the terms: -402 = 6x + -5(-6 + -6x) -402 = 6x + (-6 * -5 + -6x * -5) -402 = 6x + (30 + 30x) Reorder the terms: -402 = 30 + 6x + 30x Combine like terms: 6x + 30x = 36x -402 = 30 + 36x Solving -402 = 30 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -402 + -36x = 30 + 36x + -36x Combine like terms: 36x + -36x = 0 -402 + -36x = 30 + 0 -402 + -36x = 30 Add '402' to each side of the equation. -402 + 402 + -36x = 30 + 402 Combine like terms: -402 + 402 = 0 0 + -36x = 30 + 402 -36x = 30 + 402 Combine like terms: 30 + 402 = 432 -36x = 432 Divide each side by '-36'. x = -12 Simplifying x = -12
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