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Simplifying 2(5x + -7) = 18 + -6x Reorder the terms: 2(-7 + 5x) = 18 + -6x (-7 * 2 + 5x * 2) = 18 + -6x (-14 + 10x) = 18 + -6x Solving -14 + 10x = 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. -14 + 10x + 6x = 18 + -6x + 6x Combine like terms: 10x + 6x = 16x -14 + 16x = 18 + -6x + 6x Combine like terms: -6x + 6x = 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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