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Simplifying 2(3x + -7) = 2 + -10x Reorder the terms: 2(-7 + 3x) = 2 + -10x (-7 * 2 + 3x * 2) = 2 + -10x (-14 + 6x) = 2 + -10x Solving -14 + 6x = 2 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -14 + 6x + 10x = 2 + -10x + 10x Combine like terms: 6x + 10x = 16x -14 + 16x = 2 + -10x + 10x Combine like terms: -10x + 10x = 0 -14 + 16x = 2 + 0 -14 + 16x = 2 Add '14' to each side of the equation. -14 + 14 + 16x = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 16x = 2 + 14 16x = 2 + 14 Combine like terms: 2 + 14 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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