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Simplifying 0.4(x + 30) + 1.2x = 76 Reorder the terms: 0.4(30 + x) + 1.2x = 76 (30 * 0.4 + x * 0.4) + 1.2x = 76 (12 + 0.4x) + 1.2x = 76 Combine like terms: 0.4x + 1.2x = 1.6x 12 + 1.6x = 76 Solving 12 + 1.6x = 76 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 1.6x = 76 + -12 Combine like terms: 12 + -12 = 0 0 + 1.6x = 76 + -12 1.6x = 76 + -12 Combine like terms: 76 + -12 = 64 1.6x = 64 Divide each side by '1.6'. x = 40 Simplifying x = 40
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