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Simplifying (2x + -5)(1 + x) = 2x(x + -3) Reorder the terms: (-5 + 2x)(1 + x) = 2x(x + -3) Multiply (-5 + 2x) * (1 + x) (-5(1 + x) + 2x * (1 + x)) = 2x(x + -3) ((1 * -5 + x * -5) + 2x * (1 + x)) = 2x(x + -3) ((-5 + -5x) + 2x * (1 + x)) = 2x(x + -3) (-5 + -5x + (1 * 2x + x * 2x)) = 2x(x + -3) (-5 + -5x + (2x + 2x2)) = 2x(x + -3) Combine like terms: -5x + 2x = -3x (-5 + -3x + 2x2) = 2x(x + -3) Reorder the terms: -5 + -3x + 2x2 = 2x(-3 + x) -5 + -3x + 2x2 = (-3 * 2x + x * 2x) -5 + -3x + 2x2 = (-6x + 2x2) Add '-2x2' to each side of the equation. -5 + -3x + 2x2 + -2x2 = -6x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -5 + -3x + 0 = -6x + 2x2 + -2x2 -5 + -3x = -6x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -5 + -3x = -6x + 0 -5 + -3x = -6x Solving -5 + -3x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -5 + -3x + 6x = -6x + 6x Combine like terms: -3x + 6x = 3x -5 + 3x = -6x + 6x Combine like terms: -6x + 6x = 0 -5 + 3x = 0 Add '5' to each side of the equation. -5 + 5 + 3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 0 + 5 3x = 0 + 5 Combine like terms: 0 + 5 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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