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Simplifying 0.7x + -0.4(40 + x) = 0.05(40) 0.7x + (40 * -0.4 + x * -0.4) = 0.05(40) 0.7x + (-16 + -0.4x) = 0.05(40) Reorder the terms: -16 + 0.7x + -0.4x = 0.05(40) Combine like terms: 0.7x + -0.4x = 0.3x -16 + 0.3x = 0.05(40) Multiply 0.05 * 40 -16 + 0.3x = 2 Solving -16 + 0.3x = 2 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 = 2 + 16 Combine like terms: -16 + 16 = 0 0 + 0.3x = 2 + 16 0.3x = 2 + 16 Combine like terms: 2 + 16 = 18 0.3x = 18 Divide each side by '0.3'. x = 60 Simplifying x = 60
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