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Simplifying 2x(x + -7) = 2x2 + 3x + -17 Reorder the terms: 2x(-7 + x) = 2x2 + 3x + -17 (-7 * 2x + x * 2x) = 2x2 + 3x + -17 (-14x + 2x2) = 2x2 + 3x + -17 Reorder the terms: -14x + 2x2 = -17 + 3x + 2x2 Add '-2x2' to each side of the equation. -14x + 2x2 + -2x2 = -17 + 3x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -14x + 0 = -17 + 3x + 2x2 + -2x2 -14x = -17 + 3x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -14x = -17 + 3x + 0 -14x = -17 + 3x Solving -14x = -17 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -14x + -3x = -17 + 3x + -3x Combine like terms: -14x + -3x = -17x -17x = -17 + 3x + -3x Combine like terms: 3x + -3x = 0 -17x = -17 + 0 -17x = -17 Divide each side by '-17'. x = 1 Simplifying x = 1
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