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Simplifying 0.4x + 0.7(30 + -1x) = 14.1 0.4x + (30 * 0.7 + -1x * 0.7) = 14.1 0.4x + (21 + -0.7x) = 14.1 Reorder the terms: 21 + 0.4x + -0.7x = 14.1 Combine like terms: 0.4x + -0.7x = -0.3x 21 + -0.3x = 14.1 Solving 21 + -0.3x = 14.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -0.3x = 14.1 + -21 Combine like terms: 21 + -21 = 0 0 + -0.3x = 14.1 + -21 -0.3x = 14.1 + -21 Combine like terms: 14.1 + -21 = -6.9 -0.3x = -6.9 Divide each side by '-0.3'. x = 23 Simplifying x = 23
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