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Simplifying 0.4x + 270 = 0.7x + 210 Reorder the terms: 270 + 0.4x = 0.7x + 210 Reorder the terms: 270 + 0.4x = 210 + 0.7x Solving 270 + 0.4x = 210 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. 270 + 0.4x + -0.7x = 210 + 0.7x + -0.7x Combine like terms: 0.4x + -0.7x = -0.3x 270 + -0.3x = 210 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 270 + -0.3x = 210 + 0.0 270 + -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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