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Simplifying 6 + -2x + 9 = 3x + 7 + -9x Reorder the terms: 6 + 9 + -2x = 3x + 7 + -9x Combine like terms: 6 + 9 = 15 15 + -2x = 3x + 7 + -9x Reorder the terms: 15 + -2x = 7 + 3x + -9x Combine like terms: 3x + -9x = -6x 15 + -2x = 7 + -6x Solving 15 + -2x = 7 + -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. 15 + -2x + 6x = 7 + -6x + 6x Combine like terms: -2x + 6x = 4x 15 + 4x = 7 + -6x + 6x Combine like terms: -6x + 6x = 0 15 + 4x = 7 + 0 15 + 4x = 7 Add '-15' to each side of the equation. 15 + -15 + 4x = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 7 + -15 4x = 7 + -15 Combine like terms: 7 + -15 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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