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Simplifying 0.4(x + 100) = 0.44x + -260 Reorder the terms: 0.4(100 + x) = 0.44x + -260 (100 * 0.4 + x * 0.4) = 0.44x + -260 (40 + 0.4x) = 0.44x + -260 Reorder the terms: 40 + 0.4x = -260 + 0.44x Solving 40 + 0.4x = -260 + 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. 40 + 0.4x + -0.44x = -260 + 0.44x + -0.44x Combine like terms: 0.4x + -0.44x = -0.04x 40 + -0.04x = -260 + 0.44x + -0.44x Combine like terms: 0.44x + -0.44x = 0.00 40 + -0.04x = -260 + 0.00 40 + -0.04x = -260 Add '-40' to each side of the equation. 40 + -40 + -0.04x = -260 + -40 Combine like terms: 40 + -40 = 0 0 + -0.04x = -260 + -40 -0.04x = -260 + -40 Combine like terms: -260 + -40 = -300 -0.04x = -300 Divide each side by '-0.04'. x = 7500 Simplifying x = 7500
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