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Simplifying 3x + 9 + -2x + 5 = 6x + -4 + 7 Reorder the terms: 9 + 5 + 3x + -2x = 6x + -4 + 7 Combine like terms: 9 + 5 = 14 14 + 3x + -2x = 6x + -4 + 7 Combine like terms: 3x + -2x = 1x 14 + 1x = 6x + -4 + 7 Reorder the terms: 14 + 1x = -4 + 7 + 6x Combine like terms: -4 + 7 = 3 14 + 1x = 3 + 6x Solving 14 + 1x = 3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 14 + 1x + -6x = 3 + 6x + -6x Combine like terms: 1x + -6x = -5x 14 + -5x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + -5x = 3 + 0 14 + -5x = 3 Add '-14' to each side of the equation. 14 + -14 + -5x = 3 + -14 Combine like terms: 14 + -14 = 0 0 + -5x = 3 + -14 -5x = 3 + -14 Combine like terms: 3 + -14 = -11 -5x = -11 Divide each side by '-5'. x = 2.2 Simplifying x = 2.2
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