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Simplifying 2x + 6 + -3x = 5x + -9 Reorder the terms: 6 + 2x + -3x = 5x + -9 Combine like terms: 2x + -3x = -1x 6 + -1x = 5x + -9 Reorder the terms: 6 + -1x = -9 + 5x Solving 6 + -1x = -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 + -1x + -5x = -9 + 5x + -5x Combine like terms: -1x + -5x = -6x 6 + -6x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -6x = -9 + 0 6 + -6x = -9 Add '-6' to each side of the equation. 6 + -6 + -6x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = -9 + -6 -6x = -9 + -6 Combine like terms: -9 + -6 = -15 -6x = -15 Divide each side by '-6'. x = 2.5 Simplifying x = 2.5
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