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Simplifying 3x + -2x[x + -4(2x + -3)] = 7x(2x + -5) + -1 Reorder the terms: 3x + -2x[x + -4(-3 + 2x)] = 7x(2x + -5) + -1 3x + -2x[x + (-3 * -4 + 2x * -4)] = 7x(2x + -5) + -1 3x + -2x[x + (12 + -8x)] = 7x(2x + -5) + -1 Reorder the terms: 3x + -2x[12 + x + -8x] = 7x(2x + -5) + -1 Combine like terms: x + -8x = -7x 3x + -2x[12 + -7x] = 7x(2x + -5) + -1 3x + [12 * -2x + -7x * -2x] = 7x(2x + -5) + -1 3x + [-24x + 14x2] = 7x(2x + -5) + -1 Combine like terms: 3x + -24x = -21x -21x + 14x2 = 7x(2x + -5) + -1 Reorder the terms: -21x + 14x2 = 7x(-5 + 2x) + -1 -21x + 14x2 = (-5 * 7x + 2x * 7x) + -1 -21x + 14x2 = (-35x + 14x2) + -1 Reorder the terms: -21x + 14x2 = -1 + -35x + 14x2 Add '-14x2' to each side of the equation. -21x + 14x2 + -14x2 = -1 + -35x + 14x2 + -14x2 Combine like terms: 14x2 + -14x2 = 0 -21x + 0 = -1 + -35x + 14x2 + -14x2 -21x = -1 + -35x + 14x2 + -14x2 Combine like terms: 14x2 + -14x2 = 0 -21x = -1 + -35x + 0 -21x = -1 + -35x Solving -21x = -1 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. -21x + 35x = -1 + -35x + 35x Combine like terms: -21x + 35x = 14x 14x = -1 + -35x + 35x Combine like terms: -35x + 35x = 0 14x = -1 + 0 14x = -1 Divide each side by '14'. x = -0.07142857143 Simplifying x = -0.07142857143
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