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Simplifying (6x + 2)(3x + -5) = (9x + -4)(2x + 4) Reorder the terms: (2 + 6x)(3x + -5) = (9x + -4)(2x + 4) Reorder the terms: (2 + 6x)(-5 + 3x) = (9x + -4)(2x + 4) Multiply (2 + 6x) * (-5 + 3x) (2(-5 + 3x) + 6x * (-5 + 3x)) = (9x + -4)(2x + 4) ((-5 * 2 + 3x * 2) + 6x * (-5 + 3x)) = (9x + -4)(2x + 4) ((-10 + 6x) + 6x * (-5 + 3x)) = (9x + -4)(2x + 4) (-10 + 6x + (-5 * 6x + 3x * 6x)) = (9x + -4)(2x + 4) (-10 + 6x + (-30x + 18x2)) = (9x + -4)(2x + 4) Combine like terms: 6x + -30x = -24x (-10 + -24x + 18x2) = (9x + -4)(2x + 4) Reorder the terms: -10 + -24x + 18x2 = (-4 + 9x)(2x + 4) Reorder the terms: -10 + -24x + 18x2 = (-4 + 9x)(4 + 2x) Multiply (-4 + 9x) * (4 + 2x) -10 + -24x + 18x2 = (-4(4 + 2x) + 9x * (4 + 2x)) -10 + -24x + 18x2 = ((4 * -4 + 2x * -4) + 9x * (4 + 2x)) -10 + -24x + 18x2 = ((-16 + -8x) + 9x * (4 + 2x)) -10 + -24x + 18x2 = (-16 + -8x + (4 * 9x + 2x * 9x)) -10 + -24x + 18x2 = (-16 + -8x + (36x + 18x2)) Combine like terms: -8x + 36x = 28x -10 + -24x + 18x2 = (-16 + 28x + 18x2) Add '-18x2' to each side of the equation. -10 + -24x + 18x2 + -18x2 = -16 + 28x + 18x2 + -18x2 Combine like terms: 18x2 + -18x2 = 0 -10 + -24x + 0 = -16 + 28x + 18x2 + -18x2 -10 + -24x = -16 + 28x + 18x2 + -18x2 Combine like terms: 18x2 + -18x2 = 0 -10 + -24x = -16 + 28x + 0 -10 + -24x = -16 + 28x Solving -10 + -24x = -16 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -10 + -24x + -28x = -16 + 28x + -28x Combine like terms: -24x + -28x = -52x -10 + -52x = -16 + 28x + -28x Combine like terms: 28x + -28x = 0 -10 + -52x = -16 + 0 -10 + -52x = -16 Add '10' to each side of the equation. -10 + 10 + -52x = -16 + 10 Combine like terms: -10 + 10 = 0 0 + -52x = -16 + 10 -52x = -16 + 10 Combine like terms: -16 + 10 = -6 -52x = -6 Divide each side by '-52'. x = 0.1153846154 Simplifying x = 0.1153846154
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