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Simplifying 0.4(x + 30) + 1.4x = 93 Reorder the terms: 0.4(30 + x) + 1.4x = 93 (30 * 0.4 + x * 0.4) + 1.4x = 93 (12 + 0.4x) + 1.4x = 93 Combine like terms: 0.4x + 1.4x = 1.8x 12 + 1.8x = 93 Solving 12 + 1.8x = 93 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 + 1.8x = 93 + -12 Combine like terms: 12 + -12 = 0 0 + 1.8x = 93 + -12 1.8x = 93 + -12 Combine like terms: 93 + -12 = 81 1.8x = 81 Divide each side by '1.8'. x = 45 Simplifying x = 45
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