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Simplifying 5.1x + 2 = 2.6x + -3 Reorder the terms: 2 + 5.1x = 2.6x + -3 Reorder the terms: 2 + 5.1x = -3 + 2.6x Solving 2 + 5.1x = -3 + 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. 2 + 5.1x + -2.6x = -3 + 2.6x + -2.6x Combine like terms: 5.1x + -2.6x = 2.5x 2 + 2.5x = -3 + 2.6x + -2.6x Combine like terms: 2.6x + -2.6x = 0.0 2 + 2.5x = -3 + 0.0 2 + 2.5x = -3 Add '-2' to each side of the equation. 2 + -2 + 2.5x = -3 + -2 Combine like terms: 2 + -2 = 0 0 + 2.5x = -3 + -2 2.5x = -3 + -2 Combine like terms: -3 + -2 = -5 2.5x = -5 Divide each side by '2.5'. x = -2 Simplifying x = -2
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