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Simplifying (4x + 6) + (4x + 5) + 4x = 4x + 4x + (5x + 4) Reorder the terms: (6 + 4x) + (4x + 5) + 4x = 4x + 4x + (5x + 4) Remove parenthesis around (6 + 4x) 6 + 4x + (4x + 5) + 4x = 4x + 4x + (5x + 4) Reorder the terms: 6 + 4x + (5 + 4x) + 4x = 4x + 4x + (5x + 4) Remove parenthesis around (5 + 4x) 6 + 4x + 5 + 4x + 4x = 4x + 4x + (5x + 4) Reorder the terms: 6 + 5 + 4x + 4x + 4x = 4x + 4x + (5x + 4) Combine like terms: 6 + 5 = 11 11 + 4x + 4x + 4x = 4x + 4x + (5x + 4) Combine like terms: 4x + 4x = 8x 11 + 8x + 4x = 4x + 4x + (5x + 4) Combine like terms: 8x + 4x = 12x 11 + 12x = 4x + 4x + (5x + 4) Reorder the terms: 11 + 12x = 4x + 4x + (4 + 5x) Remove parenthesis around (4 + 5x) 11 + 12x = 4x + 4x + 4 + 5x Reorder the terms: 11 + 12x = 4 + 4x + 4x + 5x Combine like terms: 4x + 4x = 8x 11 + 12x = 4 + 8x + 5x Combine like terms: 8x + 5x = 13x 11 + 12x = 4 + 13x Solving 11 + 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. 11 + 12x + -13x = 4 + 13x + -13x Combine like terms: 12x + -13x = -1x 11 + -1x = 4 + 13x + -13x Combine like terms: 13x + -13x = 0 11 + -1x = 4 + 0 11 + -1x = 4 Add '-11' to each side of the equation. 11 + -11 + -1x = 4 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 4 + -11 -1x = 4 + -11 Combine like terms: 4 + -11 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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