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Simplifying 2(5x + -7) = 4x + -2 Reorder the terms: 2(-7 + 5x) = 4x + -2 (-7 * 2 + 5x * 2) = 4x + -2 (-14 + 10x) = 4x + -2 Reorder the terms: -14 + 10x = -2 + 4x Solving -14 + 10x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -14 + 10x + -4x = -2 + 4x + -4x Combine like terms: 10x + -4x = 6x -14 + 6x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + 6x = -2 + 0 -14 + 6x = -2 Add '14' to each side of the equation. -14 + 14 + 6x = -2 + 14 Combine like terms: -14 + 14 = 0 0 + 6x = -2 + 14 6x = -2 + 14 Combine like terms: -2 + 14 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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