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Simplifying (4x + 5) + (4x + 4) + (4x) = (4x) + (4x) + (5x + 4) Reorder the terms: (5 + 4x) + (4x + 4) + (4x) = (4x) + (4x) + (5x + 4) Remove parenthesis around (5 + 4x) 5 + 4x + (4x + 4) + (4x) = (4x) + (4x) + (5x + 4) Reorder the terms: 5 + 4x + (4 + 4x) + (4x) = (4x) + (4x) + (5x + 4) Remove parenthesis around (4 + 4x) 5 + 4x + 4 + 4x + (4x) = (4x) + (4x) + (5x + 4) Reorder the terms: 5 + 4 + 4x + 4x + (4x) = (4x) + (4x) + (5x + 4) Combine like terms: 5 + 4 = 9 9 + 4x + 4x + (4x) = (4x) + (4x) + (5x + 4) Combine like terms: 4x + 4x = 8x 9 + 8x + (4x) = (4x) + (4x) + (5x + 4) Combine like terms: 8x + (4x) = 12x 9 + 12x = (4x) + (4x) + (5x + 4) Reorder the terms: 9 + 12x = (4x) + (4x) + (4 + 5x) Remove parenthesis around (4 + 5x) 9 + 12x = (4x) + (4x) + 4 + 5x Reorder the terms: 9 + 12x = 4 + (4x) + (4x) + 5x Combine like terms: (4x) + (4x) = 8x 9 + 12x = 4 + 8x + 5x Combine like terms: 8x + 5x = 13x 9 + 12x = 4 + 13x Solving 9 + 12x = 4 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 9 + 12x + -13x = 4 + 13x + -13x Combine like terms: 12x + -13x = -1x 9 + -1x = 4 + 13x + -13x Combine like terms: 13x + -13x = 0 9 + -1x = 4 + 0 9 + -1x = 4 Add '-9' to each side of the equation. 9 + -9 + -1x = 4 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 4 + -9 -1x = 4 + -9 Combine like terms: 4 + -9 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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