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Simplifying (5x + -1)(x) = (x + 3)(5x + -4) Reorder the terms: (-1 + 5x)(x) = (x + 3)(5x + -4) Reorder the terms for easier multiplication: x(-1 + 5x) = (x + 3)(5x + -4) (-1 * x + 5x * x) = (x + 3)(5x + -4) (-1x + 5x2) = (x + 3)(5x + -4) Reorder the terms: -1x + 5x2 = (3 + x)(5x + -4) Reorder the terms: -1x + 5x2 = (3 + x)(-4 + 5x) Multiply (3 + x) * (-4 + 5x) -1x + 5x2 = (3(-4 + 5x) + x(-4 + 5x)) -1x + 5x2 = ((-4 * 3 + 5x * 3) + x(-4 + 5x)) -1x + 5x2 = ((-12 + 15x) + x(-4 + 5x)) -1x + 5x2 = (-12 + 15x + (-4 * x + 5x * x)) -1x + 5x2 = (-12 + 15x + (-4x + 5x2)) Combine like terms: 15x + -4x = 11x -1x + 5x2 = (-12 + 11x + 5x2) Add '-5x2' to each side of the equation. -1x + 5x2 + -5x2 = -12 + 11x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -1x + 0 = -12 + 11x + 5x2 + -5x2 -1x = -12 + 11x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -1x = -12 + 11x + 0 -1x = -12 + 11x Solving -1x = -12 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -1x + -11x = -12 + 11x + -11x Combine like terms: -1x + -11x = -12x -12x = -12 + 11x + -11x Combine like terms: 11x + -11x = 0 -12x = -12 + 0 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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