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Simplifying 0.2(x + 70) + 1.4x = 78 Reorder the terms: 0.2(70 + x) + 1.4x = 78 (70 * 0.2 + x * 0.2) + 1.4x = 78 (14 + 0.2x) + 1.4x = 78 Combine like terms: 0.2x + 1.4x = 1.6x 14 + 1.6x = 78 Solving 14 + 1.6x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 1.6x = 78 + -14 Combine like terms: 14 + -14 = 0 0 + 1.6x = 78 + -14 1.6x = 78 + -14 Combine like terms: 78 + -14 = 64 1.6x = 64 Divide each side by '1.6'. x = 40 Simplifying x = 40
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