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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 = -23x (15 + -23x + 6x2) = 2x(3x + 4) Reorder the terms: 15 + -23x + 6x2 = 2x(4 + 3x) 15 + -23x + 6x2 = (4 * 2x + 3x * 2x) 15 + -23x + 6x2 = (8x + 6x2) Add '-6x2' to each side of the equation. 15 + -23x + 6x2 + -6x2 = 8x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 15 + -23x + 0 = 8x + 6x2 + -6x2 15 + -23x = 8x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 15 + -23x = 8x + 0 15 + -23x = 8x Solving 15 + -23x = 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 + -23x + -8x = 8x + -8x Combine like terms: -23x + -8x = -31x 15 + -31x = 8x + -8x Combine like terms: 8x + -8x = 0 15 + -31x = 0 Add '-15' to each side of the equation. 15 + -15 + -31x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -31x = 0 + -15 -31x = 0 + -15 Combine like terms: 0 + -15 = -15 -31x = -15 Divide each side by '-31'. x = 0.4838709677 Simplifying x = 0.4838709677
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