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Simplifying 4x(x + -7) = x(4x + 15) Reorder the terms: 4x(-7 + x) = x(4x + 15) (-7 * 4x + x * 4x) = x(4x + 15) (-28x + 4x2) = x(4x + 15) Reorder the terms: -28x + 4x2 = x(15 + 4x) -28x + 4x2 = (15 * x + 4x * x) -28x + 4x2 = (15x + 4x2) Add '-4x2' to each side of the equation. -28x + 4x2 + -4x2 = 15x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -28x + 0 = 15x + 4x2 + -4x2 -28x = 15x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -28x = 15x + 0 -28x = 15x Solving -28x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -28x + -15x = 15x + -15x Combine like terms: -28x + -15x = -43x -43x = 15x + -15x Combine like terms: 15x + -15x = 0 -43x = 0 Divide each side by '-43'. x = 0 Simplifying x = 0
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