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Simplifying 2(7 + 9x) = -6x + 2 (7 * 2 + 9x * 2) = -6x + 2 (14 + 18x) = -6x + 2 Reorder the terms: 14 + 18x = 2 + -6x Solving 14 + 18x = 2 + -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. 14 + 18x + 6x = 2 + -6x + 6x Combine like terms: 18x + 6x = 24x 14 + 24x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 14 + 24x = 2 + 0 14 + 24x = 2 Add '-14' to each side of the equation. 14 + -14 + 24x = 2 + -14 Combine like terms: 14 + -14 = 0 0 + 24x = 2 + -14 24x = 2 + -14 Combine like terms: 2 + -14 = -12 24x = -12 Divide each side by '24'. x = -0.5 Simplifying x = -0.5
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