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Simplifying -6(x + 2) = x + 9 Reorder the terms: -6(2 + x) = x + 9 (2 * -6 + x * -6) = x + 9 (-12 + -6x) = x + 9 Reorder the terms: -12 + -6x = 9 + x Solving -12 + -6x = 9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + -6x + -1x = 9 + x + -1x Combine like terms: -6x + -1x = -7x -12 + -7x = 9 + x + -1x Combine like terms: x + -1x = 0 -12 + -7x = 9 + 0 -12 + -7x = 9 Add '12' to each side of the equation. -12 + 12 + -7x = 9 + 12 Combine like terms: -12 + 12 = 0 0 + -7x = 9 + 12 -7x = 9 + 12 Combine like terms: 9 + 12 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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