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Simplifying 2(2x + -7) + x = 2x + 6 Reorder the terms: 2(-7 + 2x) + x = 2x + 6 (-7 * 2 + 2x * 2) + x = 2x + 6 (-14 + 4x) + x = 2x + 6 Combine like terms: 4x + x = 5x -14 + 5x = 2x + 6 Reorder the terms: -14 + 5x = 6 + 2x Solving -14 + 5x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -14 + 5x + -2x = 6 + 2x + -2x Combine like terms: 5x + -2x = 3x -14 + 3x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 3x = 6 + 0 -14 + 3x = 6 Add '14' to each side of the equation. -14 + 14 + 3x = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 6 + 14 3x = 6 + 14 Combine like terms: 6 + 14 = 20 3x = 20 Divide each side by '3'. x = 6.666666667 Simplifying x = 6.666666667
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