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Simplifying 5.1x + 9 = 2.6x + -6 Reorder the terms: 9 + 5.1x = 2.6x + -6 Reorder the terms: 9 + 5.1x = -6 + 2.6x Solving 9 + 5.1x = -6 + 2.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.6x' to each side of the equation. 9 + 5.1x + -2.6x = -6 + 2.6x + -2.6x Combine like terms: 5.1x + -2.6x = 2.5x 9 + 2.5x = -6 + 2.6x + -2.6x Combine like terms: 2.6x + -2.6x = 0.0 9 + 2.5x = -6 + 0.0 9 + 2.5x = -6 Add '-9' to each side of the equation. 9 + -9 + 2.5x = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 2.5x = -6 + -9 2.5x = -6 + -9 Combine like terms: -6 + -9 = -15 2.5x = -15 Divide each side by '2.5'. x = -6 Simplifying x = -6
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