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Simplifying 5x(x + -3) = (x + -2)(5x + -1) + -5 Reorder the terms: 5x(-3 + x) = (x + -2)(5x + -1) + -5 (-3 * 5x + x * 5x) = (x + -2)(5x + -1) + -5 (-15x + 5x2) = (x + -2)(5x + -1) + -5 Reorder the terms: -15x + 5x2 = (-2 + x)(5x + -1) + -5 Reorder the terms: -15x + 5x2 = (-2 + x)(-1 + 5x) + -5 Multiply (-2 + x) * (-1 + 5x) -15x + 5x2 = (-2(-1 + 5x) + x(-1 + 5x)) + -5 -15x + 5x2 = ((-1 * -2 + 5x * -2) + x(-1 + 5x)) + -5 -15x + 5x2 = ((2 + -10x) + x(-1 + 5x)) + -5 -15x + 5x2 = (2 + -10x + (-1 * x + 5x * x)) + -5 -15x + 5x2 = (2 + -10x + (-1x + 5x2)) + -5 Combine like terms: -10x + -1x = -11x -15x + 5x2 = (2 + -11x + 5x2) + -5 Reorder the terms: -15x + 5x2 = 2 + -5 + -11x + 5x2 Combine like terms: 2 + -5 = -3 -15x + 5x2 = -3 + -11x + 5x2 Add '-5x2' to each side of the equation. -15x + 5x2 + -5x2 = -3 + -11x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -15x + 0 = -3 + -11x + 5x2 + -5x2 -15x = -3 + -11x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -15x = -3 + -11x + 0 -15x = -3 + -11x Solving -15x = -3 + -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. -15x + 11x = -3 + -11x + 11x Combine like terms: -15x + 11x = -4x -4x = -3 + -11x + 11x Combine like terms: -11x + 11x = 0 -4x = -3 + 0 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75
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