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Simplifying 3.4x + 52.6 = 24.8 + -10.5x Reorder the terms: 52.6 + 3.4x = 24.8 + -10.5x Solving 52.6 + 3.4x = 24.8 + -10.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.5x' to each side of the equation. 52.6 + 3.4x + 10.5x = 24.8 + -10.5x + 10.5x Combine like terms: 3.4x + 10.5x = 13.9x 52.6 + 13.9x = 24.8 + -10.5x + 10.5x Combine like terms: -10.5x + 10.5x = 0.0 52.6 + 13.9x = 24.8 + 0.0 52.6 + 13.9x = 24.8 Add '-52.6' to each side of the equation. 52.6 + -52.6 + 13.9x = 24.8 + -52.6 Combine like terms: 52.6 + -52.6 = 0.0 0.0 + 13.9x = 24.8 + -52.6 13.9x = 24.8 + -52.6 Combine like terms: 24.8 + -52.6 = -27.8 13.9x = -27.8 Divide each side by '13.9'. x = -2 Simplifying x = -2
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