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Simplifying 10.2 + 2.8x = 6.2x + 5.3 Reorder the terms: 10.2 + 2.8x = 5.3 + 6.2x Solving 10.2 + 2.8x = 5.3 + 6.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.2x' to each side of the equation. 10.2 + 2.8x + -6.2x = 5.3 + 6.2x + -6.2x Combine like terms: 2.8x + -6.2x = -3.4x 10.2 + -3.4x = 5.3 + 6.2x + -6.2x Combine like terms: 6.2x + -6.2x = 0.0 10.2 + -3.4x = 5.3 + 0.0 10.2 + -3.4x = 5.3 Add '-10.2' to each side of the equation. 10.2 + -10.2 + -3.4x = 5.3 + -10.2 Combine like terms: 10.2 + -10.2 = 0.0 0.0 + -3.4x = 5.3 + -10.2 -3.4x = 5.3 + -10.2 Combine like terms: 5.3 + -10.2 = -4.9 -3.4x = -4.9 Divide each side by '-3.4'. x = 1.441176471 Simplifying x = 1.441176471
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