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Simplifying 0.4(x + 300) = 0.44x + -176 Reorder the terms: 0.4(300 + x) = 0.44x + -176 (300 * 0.4 + x * 0.4) = 0.44x + -176 (120 + 0.4x) = 0.44x + -176 Reorder the terms: 120 + 0.4x = -176 + 0.44x Solving 120 + 0.4x = -176 + 0.44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.44x' to each side of the equation. 120 + 0.4x + -0.44x = -176 + 0.44x + -0.44x Combine like terms: 0.4x + -0.44x = -0.04x 120 + -0.04x = -176 + 0.44x + -0.44x Combine like terms: 0.44x + -0.44x = 0.00 120 + -0.04x = -176 + 0.00 120 + -0.04x = -176 Add '-120' to each side of the equation. 120 + -120 + -0.04x = -176 + -120 Combine like terms: 120 + -120 = 0 0 + -0.04x = -176 + -120 -0.04x = -176 + -120 Combine like terms: -176 + -120 = -296 -0.04x = -296 Divide each side by '-0.04'. x = 7400 Simplifying x = 7400
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