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Simplifying 17.8x + 2.1 = 8.4x + 58.5 Reorder the terms: 2.1 + 17.8x = 8.4x + 58.5 Reorder the terms: 2.1 + 17.8x = 58.5 + 8.4x Solving 2.1 + 17.8x = 58.5 + 8.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.4x' to each side of the equation. 2.1 + 17.8x + -8.4x = 58.5 + 8.4x + -8.4x Combine like terms: 17.8x + -8.4x = 9.4x 2.1 + 9.4x = 58.5 + 8.4x + -8.4x Combine like terms: 8.4x + -8.4x = 0.0 2.1 + 9.4x = 58.5 + 0.0 2.1 + 9.4x = 58.5 Add '-2.1' to each side of the equation. 2.1 + -2.1 + 9.4x = 58.5 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + 9.4x = 58.5 + -2.1 9.4x = 58.5 + -2.1 Combine like terms: 58.5 + -2.1 = 56.4 9.4x = 56.4 Divide each side by '9.4'. x = 6 Simplifying x = 6
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