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Simplifying 0.80x + -0.30(40 + x) = 0.70(40) 0.80x + (40 * -0.30 + x * -0.30) = 0.70(40) 0.80x + (-12 + -0.30x) = 0.70(40) Reorder the terms: -12 + 0.80x + -0.30x = 0.70(40) Combine like terms: 0.80x + -0.30x = 0.5x -12 + 0.5x = 0.70(40) Multiply 0.70 * 40 -12 + 0.5x = 28 Solving -12 + 0.5x = 28 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 + 0.5x = 28 + 12 Combine like terms: -12 + 12 = 0 0 + 0.5x = 28 + 12 0.5x = 28 + 12 Combine like terms: 28 + 12 = 40 0.5x = 40 Divide each side by '0.5'. x = 80 Simplifying x = 80
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