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Simplifying 3x + 6x + -4 + 5x = 97 + -2x + -6 + -7x Reorder the terms: -4 + 3x + 6x + 5x = 97 + -2x + -6 + -7x Combine like terms: 3x + 6x = 9x -4 + 9x + 5x = 97 + -2x + -6 + -7x Combine like terms: 9x + 5x = 14x -4 + 14x = 97 + -2x + -6 + -7x Reorder the terms: -4 + 14x = 97 + -6 + -2x + -7x Combine like terms: 97 + -6 = 91 -4 + 14x = 91 + -2x + -7x Combine like terms: -2x + -7x = -9x -4 + 14x = 91 + -9x Solving -4 + 14x = 91 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -4 + 14x + 9x = 91 + -9x + 9x Combine like terms: 14x + 9x = 23x -4 + 23x = 91 + -9x + 9x Combine like terms: -9x + 9x = 0 -4 + 23x = 91 + 0 -4 + 23x = 91 Add '4' to each side of the equation. -4 + 4 + 23x = 91 + 4 Combine like terms: -4 + 4 = 0 0 + 23x = 91 + 4 23x = 91 + 4 Combine like terms: 91 + 4 = 95 23x = 95 Divide each side by '23'. x = 4.130434783 Simplifying x = 4.130434783
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