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Simplifying -0.65(20) + 0.70x = 0.40(20 + x) Multiply -0.65 * 20 -13 + 0.70x = 0.40(20 + x) -13 + 0.70x = (20 * 0.40 + x * 0.40) -13 + 0.70x = (8 + 0.40x) Solving -13 + 0.70x = 8 + 0.40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.40x' to each side of the equation. -13 + 0.70x + -0.40x = 8 + 0.40x + -0.40x Combine like terms: 0.70x + -0.40x = 0.3x -13 + 0.3x = 8 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 -13 + 0.3x = 8 + 0.00 -13 + 0.3x = 8 Add '13' to each side of the equation. -13 + 13 + 0.3x = 8 + 13 Combine like terms: -13 + 13 = 0 0 + 0.3x = 8 + 13 0.3x = 8 + 13 Combine like terms: 8 + 13 = 21 0.3x = 21 Divide each side by '0.3'. x = 70 Simplifying x = 70
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