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Simplifying 2(x + -7) = 5x + 1 Reorder the terms: 2(-7 + x) = 5x + 1 (-7 * 2 + x * 2) = 5x + 1 (-14 + 2x) = 5x + 1 Reorder the terms: -14 + 2x = 1 + 5x Solving -14 + 2x = 1 + 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 + 2x + -5x = 1 + 5x + -5x Combine like terms: 2x + -5x = -3x -14 + -3x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + -3x = 1 + 0 -14 + -3x = 1 Add '14' to each side of the equation. -14 + 14 + -3x = 1 + 14 Combine like terms: -14 + 14 = 0 0 + -3x = 1 + 14 -3x = 1 + 14 Combine like terms: 1 + 14 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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