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Simplifying (4x + 7) + (4x + 6) + 4x = (5x + 4) + 4x + 4x Reorder the terms: (7 + 4x) + (4x + 6) + 4x = (5x + 4) + 4x + 4x Remove parenthesis around (7 + 4x) 7 + 4x + (4x + 6) + 4x = (5x + 4) + 4x + 4x Reorder the terms: 7 + 4x + (6 + 4x) + 4x = (5x + 4) + 4x + 4x Remove parenthesis around (6 + 4x) 7 + 4x + 6 + 4x + 4x = (5x + 4) + 4x + 4x Reorder the terms: 7 + 6 + 4x + 4x + 4x = (5x + 4) + 4x + 4x Combine like terms: 7 + 6 = 13 13 + 4x + 4x + 4x = (5x + 4) + 4x + 4x Combine like terms: 4x + 4x = 8x 13 + 8x + 4x = (5x + 4) + 4x + 4x Combine like terms: 8x + 4x = 12x 13 + 12x = (5x + 4) + 4x + 4x Reorder the terms: 13 + 12x = (4 + 5x) + 4x + 4x Remove parenthesis around (4 + 5x) 13 + 12x = 4 + 5x + 4x + 4x Combine like terms: 5x + 4x = 9x 13 + 12x = 4 + 9x + 4x Combine like terms: 9x + 4x = 13x 13 + 12x = 4 + 13x Solving 13 + 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. 13 + 12x + -13x = 4 + 13x + -13x Combine like terms: 12x + -13x = -1x 13 + -1x = 4 + 13x + -13x Combine like terms: 13x + -13x = 0 13 + -1x = 4 + 0 13 + -1x = 4 Add '-13' to each side of the equation. 13 + -13 + -1x = 4 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 4 + -13 -1x = 4 + -13 Combine like terms: 4 + -13 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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