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Simplifying (6x + -5)(x + 3) = 2x(3x + 4) Reorder the terms: (-5 + 6x)(x + 3) = 2x(3x + 4) Reorder the terms: (-5 + 6x)(3 + x) = 2x(3x + 4) Multiply (-5 + 6x) * (3 + x) (-5(3 + x) + 6x * (3 + x)) = 2x(3x + 4) ((3 * -5 + x * -5) + 6x * (3 + x)) = 2x(3x + 4) ((-15 + -5x) + 6x * (3 + x)) = 2x(3x + 4) (-15 + -5x + (3 * 6x + x * 6x)) = 2x(3x + 4) (-15 + -5x + (18x + 6x2)) = 2x(3x + 4) Combine like terms: -5x + 18x = 13x (-15 + 13x + 6x2) = 2x(3x + 4) Reorder the terms: -15 + 13x + 6x2 = 2x(4 + 3x) -15 + 13x + 6x2 = (4 * 2x + 3x * 2x) -15 + 13x + 6x2 = (8x + 6x2) Add '-6x2' to each side of the equation. -15 + 13x + 6x2 + -6x2 = 8x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -15 + 13x + 0 = 8x + 6x2 + -6x2 -15 + 13x = 8x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -15 + 13x = 8x + 0 -15 + 13x = 8x Solving -15 + 13x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -15 + 13x + -8x = 8x + -8x Combine like terms: 13x + -8x = 5x -15 + 5x = 8x + -8x Combine like terms: 8x + -8x = 0 -15 + 5x = 0 Add '15' to each side of the equation. -15 + 15 + 5x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = 0 + 15 5x = 0 + 15 Combine like terms: 0 + 15 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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