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Simplifying 4x2 + -1(2x + -3)(7 + 2x) + 5x + -3 = 0 Reorder the terms: 4x2 + -1(-3 + 2x)(7 + 2x) + 5x + -3 = 0 Multiply (-3 + 2x) * (7 + 2x) 4x2 + -1(-3(7 + 2x) + 2x * (7 + 2x)) + 5x + -3 = 0 4x2 + -1((7 * -3 + 2x * -3) + 2x * (7 + 2x)) + 5x + -3 = 0 4x2 + -1((-21 + -6x) + 2x * (7 + 2x)) + 5x + -3 = 0 4x2 + -1(-21 + -6x + (7 * 2x + 2x * 2x)) + 5x + -3 = 0 4x2 + -1(-21 + -6x + (14x + 4x2)) + 5x + -3 = 0 Combine like terms: -6x + 14x = 8x 4x2 + -1(-21 + 8x + 4x2) + 5x + -3 = 0 4x2 + (-21 * -1 + 8x * -1 + 4x2 * -1) + 5x + -3 = 0 4x2 + (21 + -8x + -4x2) + 5x + -3 = 0 Reorder the terms: 21 + -3 + -8x + 5x + 4x2 + -4x2 = 0 Combine like terms: 21 + -3 = 18 18 + -8x + 5x + 4x2 + -4x2 = 0 Combine like terms: -8x + 5x = -3x 18 + -3x + 4x2 + -4x2 = 0 Combine like terms: 4x2 + -4x2 = 0 18 + -3x + 0 = 0 18 + -3x = 0 Solving 18 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -3x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -3x = 0 + -18 -3x = 0 + -18 Combine like terms: 0 + -18 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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