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Simplifying (2x + -3)(x + 7) = 3 + x(2x + 7) Reorder the terms: (-3 + 2x)(x + 7) = 3 + x(2x + 7) Reorder the terms: (-3 + 2x)(7 + x) = 3 + x(2x + 7) Multiply (-3 + 2x) * (7 + x) (-3(7 + x) + 2x * (7 + x)) = 3 + x(2x + 7) ((7 * -3 + x * -3) + 2x * (7 + x)) = 3 + x(2x + 7) ((-21 + -3x) + 2x * (7 + x)) = 3 + x(2x + 7) (-21 + -3x + (7 * 2x + x * 2x)) = 3 + x(2x + 7) (-21 + -3x + (14x + 2x2)) = 3 + x(2x + 7) Combine like terms: -3x + 14x = 11x (-21 + 11x + 2x2) = 3 + x(2x + 7) Reorder the terms: -21 + 11x + 2x2 = 3 + x(7 + 2x) -21 + 11x + 2x2 = 3 + (7 * x + 2x * x) -21 + 11x + 2x2 = 3 + (7x + 2x2) Add '-2x2' to each side of the equation. -21 + 11x + 2x2 + -2x2 = 3 + 7x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -21 + 11x + 0 = 3 + 7x + 2x2 + -2x2 -21 + 11x = 3 + 7x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -21 + 11x = 3 + 7x + 0 -21 + 11x = 3 + 7x Solving -21 + 11x = 3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -21 + 11x + -7x = 3 + 7x + -7x Combine like terms: 11x + -7x = 4x -21 + 4x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 -21 + 4x = 3 + 0 -21 + 4x = 3 Add '21' to each side of the equation. -21 + 21 + 4x = 3 + 21 Combine like terms: -21 + 21 = 0 0 + 4x = 3 + 21 4x = 3 + 21 Combine like terms: 3 + 21 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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