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Simplifying 3x + 6 = 4x + 5x + -7 Reorder the terms: 6 + 3x = 4x + 5x + -7 Reorder the terms: 6 + 3x = -7 + 4x + 5x Combine like terms: 4x + 5x = 9x 6 + 3x = -7 + 9x Solving 6 + 3x = -7 + 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. 6 + 3x + -9x = -7 + 9x + -9x Combine like terms: 3x + -9x = -6x 6 + -6x = -7 + 9x + -9x Combine like terms: 9x + -9x = 0 6 + -6x = -7 + 0 6 + -6x = -7 Add '-6' to each side of the equation. 6 + -6 + -6x = -7 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = -7 + -6 -6x = -7 + -6 Combine like terms: -7 + -6 = -13 -6x = -13 Divide each side by '-6'. x = 2.166666667 Simplifying x = 2.166666667
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