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Simplifying -12(1 + 2x) = -2(9x + -12) (1 * -12 + 2x * -12) = -2(9x + -12) (-12 + -24x) = -2(9x + -12) Reorder the terms: -12 + -24x = -2(-12 + 9x) -12 + -24x = (-12 * -2 + 9x * -2) -12 + -24x = (24 + -18x) Solving -12 + -24x = 24 + -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. -12 + -24x + 18x = 24 + -18x + 18x Combine like terms: -24x + 18x = -6x -12 + -6x = 24 + -18x + 18x Combine like terms: -18x + 18x = 0 -12 + -6x = 24 + 0 -12 + -6x = 24 Add '12' to each side of the equation. -12 + 12 + -6x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = 24 + 12 -6x = 24 + 12 Combine like terms: 24 + 12 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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