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Simplifying x(7x + -5) + 4 = 7x(x + -4) + x Reorder the terms: x(-5 + 7x) + 4 = 7x(x + -4) + x (-5 * x + 7x * x) + 4 = 7x(x + -4) + x (-5x + 7x2) + 4 = 7x(x + -4) + x Reorder the terms: 4 + -5x + 7x2 = 7x(x + -4) + x Reorder the terms: 4 + -5x + 7x2 = 7x(-4 + x) + x 4 + -5x + 7x2 = (-4 * 7x + x * 7x) + x 4 + -5x + 7x2 = (-28x + 7x2) + x Reorder the terms: 4 + -5x + 7x2 = -28x + x + 7x2 Combine like terms: -28x + x = -27x 4 + -5x + 7x2 = -27x + 7x2 Add '-7x2' to each side of the equation. 4 + -5x + 7x2 + -7x2 = -27x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 4 + -5x + 0 = -27x + 7x2 + -7x2 4 + -5x = -27x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 4 + -5x = -27x + 0 4 + -5x = -27x Solving 4 + -5x = -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. 4 + -5x + 27x = -27x + 27x Combine like terms: -5x + 27x = 22x 4 + 22x = -27x + 27x Combine like terms: -27x + 27x = 0 4 + 22x = 0 Add '-4' to each side of the equation. 4 + -4 + 22x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 22x = 0 + -4 22x = 0 + -4 Combine like terms: 0 + -4 = -4 22x = -4 Divide each side by '22'. x = -0.1818181818 Simplifying x = -0.1818181818
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