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Simplifying 0.3x + 0.7(20 + -1x) = 0.4(20) 0.3x + (20 * 0.7 + -1x * 0.7) = 0.4(20) 0.3x + (14 + -0.7x) = 0.4(20) Reorder the terms: 14 + 0.3x + -0.7x = 0.4(20) Combine like terms: 0.3x + -0.7x = -0.4x 14 + -0.4x = 0.4(20) Multiply 0.4 * 20 14 + -0.4x = 8 Solving 14 + -0.4x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -0.4x = 8 + -14 Combine like terms: 14 + -14 = 0 0 + -0.4x = 8 + -14 -0.4x = 8 + -14 Combine like terms: 8 + -14 = -6 -0.4x = -6 Divide each side by '-0.4'. x = 15 Simplifying x = 15
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