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Simplifying 5x + 4(100 + -4x) = 480 5x + (100 * 4 + -4x * 4) = 480 5x + (400 + -16x) = 480 Reorder the terms: 400 + 5x + -16x = 480 Combine like terms: 5x + -16x = -11x 400 + -11x = 480 Solving 400 + -11x = 480 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-400' to each side of the equation. 400 + -400 + -11x = 480 + -400 Combine like terms: 400 + -400 = 0 0 + -11x = 480 + -400 -11x = 480 + -400 Combine like terms: 480 + -400 = 80 -11x = 80 Divide each side by '-11'. x = -7.272727273 Simplifying x = -7.272727273
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