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Simplifying x + (x + 4) + x + (x + 4) = x + (x + 9) + (x + 5) Reorder the terms: x + (4 + x) + x + (x + 4) = x + (x + 9) + (x + 5) Remove parenthesis around (4 + x) x + 4 + x + x + (x + 4) = x + (x + 9) + (x + 5) Reorder the terms: x + 4 + x + x + (4 + x) = x + (x + 9) + (x + 5) Remove parenthesis around (4 + x) x + 4 + x + x + 4 + x = x + (x + 9) + (x + 5) Reorder the terms: 4 + 4 + x + x + x + x = x + (x + 9) + (x + 5) Combine like terms: 4 + 4 = 8 8 + x + x + x + x = x + (x + 9) + (x + 5) Combine like terms: x + x = 2x 8 + 2x + x + x = x + (x + 9) + (x + 5) Combine like terms: 2x + x = 3x 8 + 3x + x = x + (x + 9) + (x + 5) Combine like terms: 3x + x = 4x 8 + 4x = x + (x + 9) + (x + 5) Reorder the terms: 8 + 4x = x + (9 + x) + (x + 5) Remove parenthesis around (9 + x) 8 + 4x = x + 9 + x + (x + 5) Reorder the terms: 8 + 4x = x + 9 + x + (5 + x) Remove parenthesis around (5 + x) 8 + 4x = x + 9 + x + 5 + x Reorder the terms: 8 + 4x = 9 + 5 + x + x + x Combine like terms: 9 + 5 = 14 8 + 4x = 14 + x + x + x Combine like terms: x + x = 2x 8 + 4x = 14 + 2x + x Combine like terms: 2x + x = 3x 8 + 4x = 14 + 3x Solving 8 + 4x = 14 + 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. 8 + 4x + -3x = 14 + 3x + -3x Combine like terms: 4x + -3x = 1x 8 + 1x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 1x = 14 + 0 8 + 1x = 14 Add '-8' to each side of the equation. 8 + -8 + 1x = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 14 + -8 1x = 14 + -8 Combine like terms: 14 + -8 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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