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Simplifying -0.20(40) + 0.70x = 0.30(40 + x) Multiply -0.20 * 40 -8 + 0.70x = 0.30(40 + x) -8 + 0.70x = (40 * 0.30 + x * 0.30) -8 + 0.70x = (12 + 0.30x) Solving -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. -8 + 0.70x + -0.30x = 12 + 0.30x + -0.30x Combine like terms: 0.70x + -0.30x = 0.4x -8 + 0.4x = 12 + 0.30x + -0.30x Combine like terms: 0.30x + -0.30x = 0.00 -8 + 0.4x = 12 + 0.00 -8 + 0.4x = 12 Add '8' to each side of the equation. -8 + 8 + 0.4x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 0.4x = 12 + 8 0.4x = 12 + 8 Combine like terms: 12 + 8 = 20 0.4x = 20 Divide each side by '0.4'. x = 50 Simplifying x = 50
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