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Simplifying 13.7 + -5.2x = 5x + -47.5 Reorder the terms: 13.7 + -5.2x = -47.5 + 5x Solving 13.7 + -5.2x = -47.5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 13.7 + -5.2x + -5x = -47.5 + 5x + -5x Combine like terms: -5.2x + -5x = -10.2x 13.7 + -10.2x = -47.5 + 5x + -5x Combine like terms: 5x + -5x = 0 13.7 + -10.2x = -47.5 + 0 13.7 + -10.2x = -47.5 Add '-13.7' to each side of the equation. 13.7 + -13.7 + -10.2x = -47.5 + -13.7 Combine like terms: 13.7 + -13.7 = 0.0 0.0 + -10.2x = -47.5 + -13.7 -10.2x = -47.5 + -13.7 Combine like terms: -47.5 + -13.7 = -61.2 -10.2x = -61.2 Divide each side by '-10.2'. x = 6 Simplifying x = 6
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