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Simplifying 67.8 = 6(x + 3.2) Reorder the terms: 67.8 = 6(3.2 + x) 67.8 = (3.2 * 6 + x * 6) 67.8 = (19.2 + 6x) Solving 67.8 = 19.2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 67.8 + -6x = 19.2 + 6x + -6x Combine like terms: 6x + -6x = 0 67.8 + -6x = 19.2 + 0 67.8 + -6x = 19.2 Add '-67.8' to each side of the equation. 67.8 + -67.8 + -6x = 19.2 + -67.8 Combine like terms: 67.8 + -67.8 = 0.0 0.0 + -6x = 19.2 + -67.8 -6x = 19.2 + -67.8 Combine like terms: 19.2 + -67.8 = -48.6 -6x = -48.6 Divide each side by '-6'. x = 8.1 Simplifying x = 8.1
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