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Simplifying x(7x + -5) + 4 = 7x(x + -4) + -1x Reorder the terms: x(-5 + 7x) + 4 = 7x(x + -4) + -1x (-5 * x + 7x * x) + 4 = 7x(x + -4) + -1x (-5x + 7x2) + 4 = 7x(x + -4) + -1x Reorder the terms: 4 + -5x + 7x2 = 7x(x + -4) + -1x Reorder the terms: 4 + -5x + 7x2 = 7x(-4 + x) + -1x 4 + -5x + 7x2 = (-4 * 7x + x * 7x) + -1x 4 + -5x + 7x2 = (-28x + 7x2) + -1x Reorder the terms: 4 + -5x + 7x2 = -28x + -1x + 7x2 Combine like terms: -28x + -1x = -29x 4 + -5x + 7x2 = -29x + 7x2 Add '-7x2' to each side of the equation. 4 + -5x + 7x2 + -7x2 = -29x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 4 + -5x + 0 = -29x + 7x2 + -7x2 4 + -5x = -29x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 4 + -5x = -29x + 0 4 + -5x = -29x Solving 4 + -5x = -29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29x' to each side of the equation. 4 + -5x + 29x = -29x + 29x Combine like terms: -5x + 29x = 24x 4 + 24x = -29x + 29x Combine like terms: -29x + 29x = 0 4 + 24x = 0 Add '-4' to each side of the equation. 4 + -4 + 24x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 24x = 0 + -4 24x = 0 + -4 Combine like terms: 0 + -4 = -4 24x = -4 Divide each side by '24'. x = -0.1666666667 Simplifying x = -0.1666666667
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