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Simplifying 5x + -4 + 6x + -9 + -4 = 2 + 2x + 7 Reorder the terms: -4 + -9 + -4 + 5x + 6x = 2 + 2x + 7 Combine like terms: -4 + -9 = -13 -13 + -4 + 5x + 6x = 2 + 2x + 7 Combine like terms: -13 + -4 = -17 -17 + 5x + 6x = 2 + 2x + 7 Combine like terms: 5x + 6x = 11x -17 + 11x = 2 + 2x + 7 Reorder the terms: -17 + 11x = 2 + 7 + 2x Combine like terms: 2 + 7 = 9 -17 + 11x = 9 + 2x Solving -17 + 11x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -17 + 11x + -2x = 9 + 2x + -2x Combine like terms: 11x + -2x = 9x -17 + 9x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + 9x = 9 + 0 -17 + 9x = 9 Add '17' to each side of the equation. -17 + 17 + 9x = 9 + 17 Combine like terms: -17 + 17 = 0 0 + 9x = 9 + 17 9x = 9 + 17 Combine like terms: 9 + 17 = 26 9x = 26 Divide each side by '9'. x = 2.888888889 Simplifying x = 2.888888889
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