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Simplifying 2(3x + -7) = 5x + 9 + -1x + 1 Reorder the terms: 2(-7 + 3x) = 5x + 9 + -1x + 1 (-7 * 2 + 3x * 2) = 5x + 9 + -1x + 1 (-14 + 6x) = 5x + 9 + -1x + 1 Reorder the terms: -14 + 6x = 9 + 1 + 5x + -1x Combine like terms: 9 + 1 = 10 -14 + 6x = 10 + 5x + -1x Combine like terms: 5x + -1x = 4x -14 + 6x = 10 + 4x Solving -14 + 6x = 10 + 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 + 6x + -4x = 10 + 4x + -4x Combine like terms: 6x + -4x = 2x -14 + 2x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + 2x = 10 + 0 -14 + 2x = 10 Add '14' to each side of the equation. -14 + 14 + 2x = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 10 + 14 2x = 10 + 14 Combine like terms: 10 + 14 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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