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Simplifying 2.6 + 8.3 = 1.3x + 17.4 Combine like terms: 2.6 + 8.3 = 10.9 10.9 = 1.3x + 17.4 Reorder the terms: 10.9 = 17.4 + 1.3x Solving 10.9 = 17.4 + 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. 10.9 + -1.3x = 17.4 + 1.3x + -1.3x Combine like terms: 1.3x + -1.3x = 0.0 10.9 + -1.3x = 17.4 + 0.0 10.9 + -1.3x = 17.4 Add '-10.9' to each side of the equation. 10.9 + -10.9 + -1.3x = 17.4 + -10.9 Combine like terms: 10.9 + -10.9 = 0.0 0.0 + -1.3x = 17.4 + -10.9 -1.3x = 17.4 + -10.9 Combine like terms: 17.4 + -10.9 = 6.5 -1.3x = 6.5 Divide each side by '-1.3'. x = -5 Simplifying x = -5
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