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Simplifying -0.020(40) + 0.70x = 0.30(40 + x) Multiply -0.020 * 40 -0.8 + 0.70x = 0.30(40 + x) -0.8 + 0.70x = (40 * 0.30 + x * 0.30) -0.8 + 0.70x = (12 + 0.30x) Solving -0.8 + 0.70x = 12 + 0.30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.30x' to each side of the equation. -0.8 + 0.70x + -0.30x = 12 + 0.30x + -0.30x Combine like terms: 0.70x + -0.30x = 0.4x -0.8 + 0.4x = 12 + 0.30x + -0.30x Combine like terms: 0.30x + -0.30x = 0.00 -0.8 + 0.4x = 12 + 0.00 -0.8 + 0.4x = 12 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.4x = 12 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.4x = 12 + 0.8 0.4x = 12 + 0.8 Combine like terms: 12 + 0.8 = 12.8 0.4x = 12.8 Divide each side by '0.4'. x = 32 Simplifying x = 32
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