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Simplifying 2(-1x + 2) + 7x = -6(x + 3) Reorder the terms: 2(2 + -1x) + 7x = -6(x + 3) (2 * 2 + -1x * 2) + 7x = -6(x + 3) (4 + -2x) + 7x = -6(x + 3) Combine like terms: -2x + 7x = 5x 4 + 5x = -6(x + 3) Reorder the terms: 4 + 5x = -6(3 + x) 4 + 5x = (3 * -6 + x * -6) 4 + 5x = (-18 + -6x) Solving 4 + 5x = -18 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 4 + 5x + 6x = -18 + -6x + 6x Combine like terms: 5x + 6x = 11x 4 + 11x = -18 + -6x + 6x Combine like terms: -6x + 6x = 0 4 + 11x = -18 + 0 4 + 11x = -18 Add '-4' to each side of the equation. 4 + -4 + 11x = -18 + -4 Combine like terms: 4 + -4 = 0 0 + 11x = -18 + -4 11x = -18 + -4 Combine like terms: -18 + -4 = -22 11x = -22 Divide each side by '11'. x = -2 Simplifying x = -2
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