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Simplifying 0.4(x + 90) + 1.4x = 117 Reorder the terms: 0.4(90 + x) + 1.4x = 117 (90 * 0.4 + x * 0.4) + 1.4x = 117 (36 + 0.4x) + 1.4x = 117 Combine like terms: 0.4x + 1.4x = 1.8x 36 + 1.8x = 117 Solving 36 + 1.8x = 117 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 1.8x = 117 + -36 Combine like terms: 36 + -36 = 0 0 + 1.8x = 117 + -36 1.8x = 117 + -36 Combine like terms: 117 + -36 = 81 1.8x = 81 Divide each side by '1.8'. x = 45 Simplifying x = 45
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