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Simplifying 49.6 + 5x = (10 + x) * 5.4 Reorder the terms for easier multiplication: 49.6 + 5x = 5.4(10 + x) 49.6 + 5x = (10 * 5.4 + x * 5.4) 49.6 + 5x = (54 + 5.4x) Solving 49.6 + 5x = 54 + 5.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.4x' to each side of the equation. 49.6 + 5x + -5.4x = 54 + 5.4x + -5.4x Combine like terms: 5x + -5.4x = -0.4x 49.6 + -0.4x = 54 + 5.4x + -5.4x Combine like terms: 5.4x + -5.4x = 0.0 49.6 + -0.4x = 54 + 0.0 49.6 + -0.4x = 54 Add '-49.6' to each side of the equation. 49.6 + -49.6 + -0.4x = 54 + -49.6 Combine like terms: 49.6 + -49.6 = 0.0 0.0 + -0.4x = 54 + -49.6 -0.4x = 54 + -49.6 Combine like terms: 54 + -49.6 = 4.4 -0.4x = 4.4 Divide each side by '-0.4'. x = -11 Simplifying x = -11
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