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Simplifying 0.1x + 0.4(40 + -1x) = 6.7 0.1x + (40 * 0.4 + -1x * 0.4) = 6.7 0.1x + (16 + -0.4x) = 6.7 Reorder the terms: 16 + 0.1x + -0.4x = 6.7 Combine like terms: 0.1x + -0.4x = -0.3x 16 + -0.3x = 6.7 Solving 16 + -0.3x = 6.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -0.3x = 6.7 + -16 Combine like terms: 16 + -16 = 0 0 + -0.3x = 6.7 + -16 -0.3x = 6.7 + -16 Combine like terms: 6.7 + -16 = -9.3 -0.3x = -9.3 Divide each side by '-0.3'. x = 31 Simplifying x = 31
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