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Simplifying -6(x + -1) = 6(3x + -3) Reorder the terms: -6(-1 + x) = 6(3x + -3) (-1 * -6 + x * -6) = 6(3x + -3) (6 + -6x) = 6(3x + -3) Reorder the terms: 6 + -6x = 6(-3 + 3x) 6 + -6x = (-3 * 6 + 3x * 6) 6 + -6x = (-18 + 18x) Solving 6 + -6x = -18 + 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. 6 + -6x + -18x = -18 + 18x + -18x Combine like terms: -6x + -18x = -24x 6 + -24x = -18 + 18x + -18x Combine like terms: 18x + -18x = 0 6 + -24x = -18 + 0 6 + -24x = -18 Add '-6' to each side of the equation. 6 + -6 + -24x = -18 + -6 Combine like terms: 6 + -6 = 0 0 + -24x = -18 + -6 -24x = -18 + -6 Combine like terms: -18 + -6 = -24 -24x = -24 Divide each side by '-24'. x = 1 Simplifying x = 1
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