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Simplifying 67.3 = 2.4(x + 15) + 7.3 Reorder the terms: 67.3 = 2.4(15 + x) + 7.3 67.3 = (15 * 2.4 + x * 2.4) + 7.3 67.3 = (36 + 2.4x) + 7.3 Reorder the terms: 67.3 = 36 + 7.3 + 2.4x Combine like terms: 36 + 7.3 = 43.3 67.3 = 43.3 + 2.4x Solving 67.3 = 43.3 + 2.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.4x' to each side of the equation. 67.3 + -2.4x = 43.3 + 2.4x + -2.4x Combine like terms: 2.4x + -2.4x = 0.0 67.3 + -2.4x = 43.3 + 0.0 67.3 + -2.4x = 43.3 Add '-67.3' to each side of the equation. 67.3 + -67.3 + -2.4x = 43.3 + -67.3 Combine like terms: 67.3 + -67.3 = 0.0 0.0 + -2.4x = 43.3 + -67.3 -2.4x = 43.3 + -67.3 Combine like terms: 43.3 + -67.3 = -24 -2.4x = -24 Divide each side by '-2.4'. x = 10 Simplifying x = 10
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