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Simplifying -3(4x + -6) = 7 + -1x Reorder the terms: -3(-6 + 4x) = 7 + -1x (-6 * -3 + 4x * -3) = 7 + -1x (18 + -12x) = 7 + -1x Solving 18 + -12x = 7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 18 + -12x + x = 7 + -1x + x Combine like terms: -12x + x = -11x 18 + -11x = 7 + -1x + x Combine like terms: -1x + x = 0 18 + -11x = 7 + 0 18 + -11x = 7 Add '-18' to each side of the equation. 18 + -18 + -11x = 7 + -18 Combine like terms: 18 + -18 = 0 0 + -11x = 7 + -18 -11x = 7 + -18 Combine like terms: 7 + -18 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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