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Simplifying 0.7x + -0.3(40 + x) = 0.1(40) 0.7x + (40 * -0.3 + x * -0.3) = 0.1(40) 0.7x + (-12 + -0.3x) = 0.1(40) Reorder the terms: -12 + 0.7x + -0.3x = 0.1(40) Combine like terms: 0.7x + -0.3x = 0.4x -12 + 0.4x = 0.1(40) Multiply 0.1 * 40 -12 + 0.4x = 4 Solving -12 + 0.4x = 4 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 + 0.4x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 0.4x = 4 + 12 0.4x = 4 + 12 Combine like terms: 4 + 12 = 16 0.4x = 16 Divide each side by '0.4'. x = 40 Simplifying x = 40
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