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Simplifying 2(3x + -7) = 5x + -7 Reorder the terms: 2(-7 + 3x) = 5x + -7 (-7 * 2 + 3x * 2) = 5x + -7 (-14 + 6x) = 5x + -7 Reorder the terms: -14 + 6x = -7 + 5x Solving -14 + 6x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -14 + 6x + -5x = -7 + 5x + -5x Combine like terms: 6x + -5x = 1x -14 + 1x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + 1x = -7 + 0 -14 + 1x = -7 Add '14' to each side of the equation. -14 + 14 + 1x = -7 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = -7 + 14 1x = -7 + 14 Combine like terms: -7 + 14 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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