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Simplifying 5.40x + 7.29 + -6.5 = 29 + 1.3x Reorder the terms: 7.29 + -6.5 + 5.40x = 29 + 1.3x Combine like terms: 7.29 + -6.5 = 0.79 0.79 + 5.40x = 29 + 1.3x Solving 0.79 + 5.40x = 29 + 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. 0.79 + 5.40x + -1.3x = 29 + 1.3x + -1.3x Combine like terms: 5.40x + -1.3x = 4.1x 0.79 + 4.1x = 29 + 1.3x + -1.3x Combine like terms: 1.3x + -1.3x = 0.0 0.79 + 4.1x = 29 + 0.0 0.79 + 4.1x = 29 Add '-0.79' to each side of the equation. 0.79 + -0.79 + 4.1x = 29 + -0.79 Combine like terms: 0.79 + -0.79 = 0.00 0.00 + 4.1x = 29 + -0.79 4.1x = 29 + -0.79 Combine like terms: 29 + -0.79 = 28.21 4.1x = 28.21 Divide each side by '4.1'. x = 6.880487805 Simplifying x = 6.880487805
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