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Simplifying 2.5x + 3.4 = 6.5x + -4.6 Reorder the terms: 3.4 + 2.5x = 6.5x + -4.6 Reorder the terms: 3.4 + 2.5x = -4.6 + 6.5x Solving 3.4 + 2.5x = -4.6 + 6.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.5x' to each side of the equation. 3.4 + 2.5x + -6.5x = -4.6 + 6.5x + -6.5x Combine like terms: 2.5x + -6.5x = -4x 3.4 + -4x = -4.6 + 6.5x + -6.5x Combine like terms: 6.5x + -6.5x = 0.0 3.4 + -4x = -4.6 + 0.0 3.4 + -4x = -4.6 Add '-3.4' to each side of the equation. 3.4 + -3.4 + -4x = -4.6 + -3.4 Combine like terms: 3.4 + -3.4 = 0.0 0.0 + -4x = -4.6 + -3.4 -4x = -4.6 + -3.4 Combine like terms: -4.6 + -3.4 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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