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Simplifying 2x(3x + -4) + -6x + 4 = 2(3x * x + 8) + 4 Reorder the terms: 2x(-4 + 3x) + -6x + 4 = 2(3x * x + 8) + 4 (-4 * 2x + 3x * 2x) + -6x + 4 = 2(3x * x + 8) + 4 (-8x + 6x2) + -6x + 4 = 2(3x * x + 8) + 4 Reorder the terms: 4 + -8x + -6x + 6x2 = 2(3x * x + 8) + 4 Combine like terms: -8x + -6x = -14x 4 + -14x + 6x2 = 2(3x * x + 8) + 4 Multiply x * x 4 + -14x + 6x2 = 2(3x2 + 8) + 4 Reorder the terms: 4 + -14x + 6x2 = 2(8 + 3x2) + 4 4 + -14x + 6x2 = (8 * 2 + 3x2 * 2) + 4 4 + -14x + 6x2 = (16 + 6x2) + 4 Reorder the terms: 4 + -14x + 6x2 = 16 + 4 + 6x2 Combine like terms: 16 + 4 = 20 4 + -14x + 6x2 = 20 + 6x2 Add '-6x2' to each side of the equation. 4 + -14x + 6x2 + -6x2 = 20 + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 4 + -14x + 0 = 20 + 6x2 + -6x2 4 + -14x = 20 + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 4 + -14x = 20 + 0 4 + -14x = 20 Solving 4 + -14x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -14x = 20 + -4 Combine like terms: 4 + -4 = 0 0 + -14x = 20 + -4 -14x = 20 + -4 Combine like terms: 20 + -4 = 16 -14x = 16 Divide each side by '-14'. x = -1.142857143 Simplifying x = -1.142857143
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