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Simplifying 2x + -7x + 6 = 5x + -9 Reorder the terms: 6 + 2x + -7x = 5x + -9 Combine like terms: 2x + -7x = -5x 6 + -5x = 5x + -9 Reorder the terms: 6 + -5x = -9 + 5x Solving 6 + -5x = -9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + -5x + -5x = -9 + 5x + -5x Combine like terms: -5x + -5x = -10x 6 + -10x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -10x = -9 + 0 6 + -10x = -9 Add '-6' to each side of the equation. 6 + -6 + -10x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -10x = -9 + -6 -10x = -9 + -6 Combine like terms: -9 + -6 = -15 -10x = -15 Divide each side by '-10'. x = 1.5 Simplifying x = 1.5
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