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Simplifying 0.4(x + 300) = 0.46x + -336 Reorder the terms: 0.4(300 + x) = 0.46x + -336 (300 * 0.4 + x * 0.4) = 0.46x + -336 (120 + 0.4x) = 0.46x + -336 Reorder the terms: 120 + 0.4x = -336 + 0.46x Solving 120 + 0.4x = -336 + 0.46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.46x' to each side of the equation. 120 + 0.4x + -0.46x = -336 + 0.46x + -0.46x Combine like terms: 0.4x + -0.46x = -0.06x 120 + -0.06x = -336 + 0.46x + -0.46x Combine like terms: 0.46x + -0.46x = 0.00 120 + -0.06x = -336 + 0.00 120 + -0.06x = -336 Add '-120' to each side of the equation. 120 + -120 + -0.06x = -336 + -120 Combine like terms: 120 + -120 = 0 0 + -0.06x = -336 + -120 -0.06x = -336 + -120 Combine like terms: -336 + -120 = -456 -0.06x = -456 Divide each side by '-0.06'. x = 7600 Simplifying x = 7600
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