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Simplifying 6(x + -1) = 18 + -2(3 + -2x) Reorder the terms: 6(-1 + x) = 18 + -2(3 + -2x) (-1 * 6 + x * 6) = 18 + -2(3 + -2x) (-6 + 6x) = 18 + -2(3 + -2x) -6 + 6x = 18 + (3 * -2 + -2x * -2) -6 + 6x = 18 + (-6 + 4x) Combine like terms: 18 + -6 = 12 -6 + 6x = 12 + 4x Solving -6 + 6x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 6x + -4x = 12 + 4x + -4x Combine like terms: 6x + -4x = 2x -6 + 2x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 2x = 12 + 0 -6 + 2x = 12 Add '6' to each side of the equation. -6 + 6 + 2x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 12 + 6 2x = 12 + 6 Combine like terms: 12 + 6 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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