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Simplifying 0.40x + 0.90(300) = 0.70(x + 300) Multiply 0.90 * 300 0.40x + 270 = 0.70(x + 300) Reorder the terms: 270 + 0.40x = 0.70(x + 300) Reorder the terms: 270 + 0.40x = 0.70(300 + x) 270 + 0.40x = (300 * 0.70 + x * 0.70) 270 + 0.40x = (210 + 0.70x) Solving 270 + 0.40x = 210 + 0.70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.70x' to each side of the equation. 270 + 0.40x + -0.70x = 210 + 0.70x + -0.70x Combine like terms: 0.40x + -0.70x = -0.3x 270 + -0.3x = 210 + 0.70x + -0.70x Combine like terms: 0.70x + -0.70x = 0.00 270 + -0.3x = 210 + 0.00 270 + -0.3x = 210 Add '-270' to each side of the equation. 270 + -270 + -0.3x = 210 + -270 Combine like terms: 270 + -270 = 0 0 + -0.3x = 210 + -270 -0.3x = 210 + -270 Combine like terms: 210 + -270 = -60 -0.3x = -60 Divide each side by '-0.3'. x = 200 Simplifying x = 200
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