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