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Simplifying -162 = -6x + -6(2x + 9) Reorder the terms: -162 = -6x + -6(9 + 2x) -162 = -6x + (9 * -6 + 2x * -6) -162 = -6x + (-54 + -12x) Reorder the terms: -162 = -54 + -6x + -12x Combine like terms: -6x + -12x = -18x -162 = -54 + -18x Solving -162 = -54 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -162 + 18x = -54 + -18x + 18x Combine like terms: -18x + 18x = 0 -162 + 18x = -54 + 0 -162 + 18x = -54 Add '162' to each side of the equation. -162 + 162 + 18x = -54 + 162 Combine like terms: -162 + 162 = 0 0 + 18x = -54 + 162 18x = -54 + 162 Combine like terms: -54 + 162 = 108 18x = 108 Divide each side by '18'. x = 6 Simplifying x = 6
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