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Simplifying (2x + -5)(x + 3) = 2x2 + -1(3x + 1) + (x + -6) Reorder the terms: (-5 + 2x)(x + 3) = 2x2 + -1(3x + 1) + (x + -6) Reorder the terms: (-5 + 2x)(3 + x) = 2x2 + -1(3x + 1) + (x + -6) Multiply (-5 + 2x) * (3 + x) (-5(3 + x) + 2x * (3 + x)) = 2x2 + -1(3x + 1) + (x + -6) ((3 * -5 + x * -5) + 2x * (3 + x)) = 2x2 + -1(3x + 1) + (x + -6) ((-15 + -5x) + 2x * (3 + x)) = 2x2 + -1(3x + 1) + (x + -6) (-15 + -5x + (3 * 2x + x * 2x)) = 2x2 + -1(3x + 1) + (x + -6) (-15 + -5x + (6x + 2x2)) = 2x2 + -1(3x + 1) + (x + -6) Combine like terms: -5x + 6x = 1x (-15 + 1x + 2x2) = 2x2 + -1(3x + 1) + (x + -6) Reorder the terms: -15 + 1x + 2x2 = 2x2 + -1(1 + 3x) + (x + -6) -15 + 1x + 2x2 = 2x2 + (1 * -1 + 3x * -1) + (x + -6) -15 + 1x + 2x2 = 2x2 + (-1 + -3x) + (x + -6) Reorder the terms: -15 + 1x + 2x2 = 2x2 + -1 + -3x + (-6 + x) Remove parenthesis around (-6 + x) -15 + 1x + 2x2 = 2x2 + -1 + -3x + -6 + x Reorder the terms: -15 + 1x + 2x2 = -1 + -6 + -3x + x + 2x2 Combine like terms: -1 + -6 = -7 -15 + 1x + 2x2 = -7 + -3x + x + 2x2 Combine like terms: -3x + x = -2x -15 + 1x + 2x2 = -7 + -2x + 2x2 Add '-2x2' to each side of the equation. -15 + 1x + 2x2 + -2x2 = -7 + -2x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -15 + 1x + 0 = -7 + -2x + 2x2 + -2x2 -15 + 1x = -7 + -2x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -15 + 1x = -7 + -2x + 0 -15 + 1x = -7 + -2x Solving -15 + 1x = -7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -15 + 1x + 2x = -7 + -2x + 2x Combine like terms: 1x + 2x = 3x -15 + 3x = -7 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + 3x = -7 + 0 -15 + 3x = -7 Add '15' to each side of the equation. -15 + 15 + 3x = -7 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = -7 + 15 3x = -7 + 15 Combine like terms: -7 + 15 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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