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Simplifying 2(x + -7) + 2x = (x + 9) + (x + 2) + (x + 7) Reorder the terms: 2(-7 + x) + 2x = (x + 9) + (x + 2) + (x + 7) (-7 * 2 + x * 2) + 2x = (x + 9) + (x + 2) + (x + 7) (-14 + 2x) + 2x = (x + 9) + (x + 2) + (x + 7) Combine like terms: 2x + 2x = 4x -14 + 4x = (x + 9) + (x + 2) + (x + 7) Reorder the terms: -14 + 4x = (9 + x) + (x + 2) + (x + 7) Remove parenthesis around (9 + x) -14 + 4x = 9 + x + (x + 2) + (x + 7) Reorder the terms: -14 + 4x = 9 + x + (2 + x) + (x + 7) Remove parenthesis around (2 + x) -14 + 4x = 9 + x + 2 + x + (x + 7) Reorder the terms: -14 + 4x = 9 + x + 2 + x + (7 + x) Remove parenthesis around (7 + x) -14 + 4x = 9 + x + 2 + x + 7 + x Reorder the terms: -14 + 4x = 9 + 2 + 7 + x + x + x Combine like terms: 9 + 2 = 11 -14 + 4x = 11 + 7 + x + x + x Combine like terms: 11 + 7 = 18 -14 + 4x = 18 + x + x + x Combine like terms: x + x = 2x -14 + 4x = 18 + 2x + x Combine like terms: 2x + x = 3x -14 + 4x = 18 + 3x Solving -14 + 4x = 18 + 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 + 4x + -3x = 18 + 3x + -3x Combine like terms: 4x + -3x = 1x -14 + 1x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + 1x = 18 + 0 -14 + 1x = 18 Add '14' to each side of the equation. -14 + 14 + 1x = 18 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = 18 + 14 1x = 18 + 14 Combine like terms: 18 + 14 = 32 1x = 32 Divide each side by '1'. x = 32 Simplifying x = 32
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