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Simplifying 2.6x + 10 = 23 + -1.3x Reorder the terms: 10 + 2.6x = 23 + -1.3x Solving 10 + 2.6x = 23 + -1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.3x' to each side of the equation. 10 + 2.6x + 1.3x = 23 + -1.3x + 1.3x Combine like terms: 2.6x + 1.3x = 3.9x 10 + 3.9x = 23 + -1.3x + 1.3x Combine like terms: -1.3x + 1.3x = 0.0 10 + 3.9x = 23 + 0.0 10 + 3.9x = 23 Add '-10' to each side of the equation. 10 + -10 + 3.9x = 23 + -10 Combine like terms: 10 + -10 = 0 0 + 3.9x = 23 + -10 3.9x = 23 + -10 Combine like terms: 23 + -10 = 13 3.9x = 13 Divide each side by '3.9'. x = 3.333333333 Simplifying x = 3.333333333
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