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Simplifying (X + 1) * 2 + -7 = 3x(2x + -3) Reorder the terms: (1 + X) * 2 + -7 = 3x(2x + -3) Reorder the terms for easier multiplication: 2(1 + X) + -7 = 3x(2x + -3) (1 * 2 + X * 2) + -7 = 3x(2x + -3) (2 + 2X) + -7 = 3x(2x + -3) Reorder the terms: 2 + -7 + 2X = 3x(2x + -3) Combine like terms: 2 + -7 = -5 -5 + 2X = 3x(2x + -3) Reorder the terms: -5 + 2X = 3x(-3 + 2x) -5 + 2X = (-3 * 3x + 2x * 3x) -5 + 2X = (-9x + 6x2) Solving -5 + 2X = -9x + 6x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2X = -9x + 5 + 6x2 Combine like terms: -5 + 5 = 0 0 + 2X = -9x + 5 + 6x2 2X = -9x + 5 + 6x2 Reorder the terms: 2X = 5 + -9x + 6x2 Divide each side by '2'. X = 2.5 + -4.5x + 3x2 Simplifying X = 2.5 + -4.5x + 3x2
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