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Simplifying 6(x + 3) = -2(3 + -7x) Reorder the terms: 6(3 + x) = -2(3 + -7x) (3 * 6 + x * 6) = -2(3 + -7x) (18 + 6x) = -2(3 + -7x) 18 + 6x = (3 * -2 + -7x * -2) 18 + 6x = (-6 + 14x) Solving 18 + 6x = -6 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 18 + 6x + -14x = -6 + 14x + -14x Combine like terms: 6x + -14x = -8x 18 + -8x = -6 + 14x + -14x Combine like terms: 14x + -14x = 0 18 + -8x = -6 + 0 18 + -8x = -6 Add '-18' to each side of the equation. 18 + -18 + -8x = -6 + -18 Combine like terms: 18 + -18 = 0 0 + -8x = -6 + -18 -8x = -6 + -18 Combine like terms: -6 + -18 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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