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Simplifying 0.30x + 0.90(300) = 0.70(300 + x) Multiply 0.90 * 300 0.30x + 270 = 0.70(300 + x) Reorder the terms: 270 + 0.30x = 0.70(300 + x) 270 + 0.30x = (300 * 0.70 + x * 0.70) 270 + 0.30x = (210 + 0.70x) Solving 270 + 0.30x = 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 + 0.30x + -0.70x = 210 + 0.70x + -0.70x Combine like terms: 0.30x + -0.70x = -0.4x 270 + -0.4x = 210 + 0.70x + -0.70x Combine like terms: 0.70x + -0.70x = 0.00 270 + -0.4x = 210 + 0.00 270 + -0.4x = 210 Add '-270' to each side of the equation. 270 + -270 + -0.4x = 210 + -270 Combine like terms: 270 + -270 = 0 0 + -0.4x = 210 + -270 -0.4x = 210 + -270 Combine like terms: 210 + -270 = -60 -0.4x = -60 Divide each side by '-0.4'. x = 150 Simplifying x = 150
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