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Simplifying 2.6x + 3 = 3.4x + -9 Reorder the terms: 3 + 2.6x = 3.4x + -9 Reorder the terms: 3 + 2.6x = -9 + 3.4x Solving 3 + 2.6x = -9 + 3.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.4x' to each side of the equation. 3 + 2.6x + -3.4x = -9 + 3.4x + -3.4x Combine like terms: 2.6x + -3.4x = -0.8x 3 + -0.8x = -9 + 3.4x + -3.4x Combine like terms: 3.4x + -3.4x = 0.0 3 + -0.8x = -9 + 0.0 3 + -0.8x = -9 Add '-3' to each side of the equation. 3 + -3 + -0.8x = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -0.8x = -9 + -3 -0.8x = -9 + -3 Combine like terms: -9 + -3 = -12 -0.8x = -12 Divide each side by '-0.8'. x = 15 Simplifying x = 15
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