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Simplifying 5x + -4 + 6x + -9 = 4 + -2 + 2x + 7 Reorder the terms: -4 + -9 + 5x + 6x = 4 + -2 + 2x + 7 Combine like terms: -4 + -9 = -13 -13 + 5x + 6x = 4 + -2 + 2x + 7 Combine like terms: 5x + 6x = 11x -13 + 11x = 4 + -2 + 2x + 7 Reorder the terms: -13 + 11x = 4 + -2 + 7 + 2x Combine like terms: 4 + -2 = 2 -13 + 11x = 2 + 7 + 2x Combine like terms: 2 + 7 = 9 -13 + 11x = 9 + 2x Solving -13 + 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. -13 + 11x + -2x = 9 + 2x + -2x Combine like terms: 11x + -2x = 9x -13 + 9x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + 9x = 9 + 0 -13 + 9x = 9 Add '13' to each side of the equation. -13 + 13 + 9x = 9 + 13 Combine like terms: -13 + 13 = 0 0 + 9x = 9 + 13 9x = 9 + 13 Combine like terms: 9 + 13 = 22 9x = 22 Divide each side by '9'. x = 2.444444444 Simplifying x = 2.444444444
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