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Simplifying 0.3x + 0.6(400) = 0.4(x + 400) Multiply 0.6 * 400 0.3x + 240 = 0.4(x + 400) Reorder the terms: 240 + 0.3x = 0.4(x + 400) Reorder the terms: 240 + 0.3x = 0.4(400 + x) 240 + 0.3x = (400 * 0.4 + x * 0.4) 240 + 0.3x = (160 + 0.4x) Solving 240 + 0.3x = 160 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 240 + 0.3x + -0.4x = 160 + 0.4x + -0.4x Combine like terms: 0.3x + -0.4x = -0.1x 240 + -0.1x = 160 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 240 + -0.1x = 160 + 0.0 240 + -0.1x = 160 Add '-240' to each side of the equation. 240 + -240 + -0.1x = 160 + -240 Combine like terms: 240 + -240 = 0 0 + -0.1x = 160 + -240 -0.1x = 160 + -240 Combine like terms: 160 + -240 = -80 -0.1x = -80 Divide each side by '-0.1'. x = 800 Simplifying x = 800
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