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Simplifying x(5x + -3) = (5x + 4)(x + -1) Reorder the terms: x(-3 + 5x) = (5x + 4)(x + -1) (-3 * x + 5x * x) = (5x + 4)(x + -1) (-3x + 5x2) = (5x + 4)(x + -1) Reorder the terms: -3x + 5x2 = (4 + 5x)(x + -1) Reorder the terms: -3x + 5x2 = (4 + 5x)(-1 + x) Multiply (4 + 5x) * (-1 + x) -3x + 5x2 = (4(-1 + x) + 5x * (-1 + x)) -3x + 5x2 = ((-1 * 4 + x * 4) + 5x * (-1 + x)) -3x + 5x2 = ((-4 + 4x) + 5x * (-1 + x)) -3x + 5x2 = (-4 + 4x + (-1 * 5x + x * 5x)) -3x + 5x2 = (-4 + 4x + (-5x + 5x2)) Combine like terms: 4x + -5x = -1x -3x + 5x2 = (-4 + -1x + 5x2) Add '-5x2' to each side of the equation. -3x + 5x2 + -5x2 = -4 + -1x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -3x + 0 = -4 + -1x + 5x2 + -5x2 -3x = -4 + -1x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -3x = -4 + -1x + 0 -3x = -4 + -1x Solving -3x = -4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -3x + x = -4 + -1x + x Combine like terms: -3x + x = -2x -2x = -4 + -1x + x Combine like terms: -1x + x = 0 -2x = -4 + 0 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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