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Simplifying 2(3x + -7) = 3x + 5 + 5 Reorder the terms: 2(-7 + 3x) = 3x + 5 + 5 (-7 * 2 + 3x * 2) = 3x + 5 + 5 (-14 + 6x) = 3x + 5 + 5 Reorder the terms: -14 + 6x = 5 + 5 + 3x Combine like terms: 5 + 5 = 10 -14 + 6x = 10 + 3x Solving -14 + 6x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -14 + 6x + -3x = 10 + 3x + -3x Combine like terms: 6x + -3x = 3x -14 + 3x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + 3x = 10 + 0 -14 + 3x = 10 Add '14' to each side of the equation. -14 + 14 + 3x = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 10 + 14 3x = 10 + 14 Combine like terms: 10 + 14 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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