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Simplifying 0.4(x + 70) + 1.4x = 109 Reorder the terms: 0.4(70 + x) + 1.4x = 109 (70 * 0.4 + x * 0.4) + 1.4x = 109 (28 + 0.4x) + 1.4x = 109 Combine like terms: 0.4x + 1.4x = 1.8x 28 + 1.8x = 109 Solving 28 + 1.8x = 109 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 1.8x = 109 + -28 Combine like terms: 28 + -28 = 0 0 + 1.8x = 109 + -28 1.8x = 109 + -28 Combine like terms: 109 + -28 = 81 1.8x = 81 Divide each side by '1.8'. x = 45 Simplifying x = 45
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