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Simplifying 14 + -2x = -6(3x + 3) Reorder the terms: 14 + -2x = -6(3 + 3x) 14 + -2x = (3 * -6 + 3x * -6) 14 + -2x = (-18 + -18x) Solving 14 + -2x = -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. 14 + -2x + 18x = -18 + -18x + 18x Combine like terms: -2x + 18x = 16x 14 + 16x = -18 + -18x + 18x Combine like terms: -18x + 18x = 0 14 + 16x = -18 + 0 14 + 16x = -18 Add '-14' to each side of the equation. 14 + -14 + 16x = -18 + -14 Combine like terms: 14 + -14 = 0 0 + 16x = -18 + -14 16x = -18 + -14 Combine like terms: -18 + -14 = -32 16x = -32 Divide each side by '16'. x = -2 Simplifying x = -2
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