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Simplifying 2x2 + -17 = 2x(x + 7) + -3(4x + 1) Reorder the terms: -17 + 2x2 = 2x(x + 7) + -3(4x + 1) Reorder the terms: -17 + 2x2 = 2x(7 + x) + -3(4x + 1) -17 + 2x2 = (7 * 2x + x * 2x) + -3(4x + 1) -17 + 2x2 = (14x + 2x2) + -3(4x + 1) Reorder the terms: -17 + 2x2 = 14x + 2x2 + -3(1 + 4x) -17 + 2x2 = 14x + 2x2 + (1 * -3 + 4x * -3) -17 + 2x2 = 14x + 2x2 + (-3 + -12x) Reorder the terms: -17 + 2x2 = -3 + 14x + -12x + 2x2 Combine like terms: 14x + -12x = 2x -17 + 2x2 = -3 + 2x + 2x2 Add '-2x2' to each side of the equation. -17 + 2x2 + -2x2 = -3 + 2x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -17 + 0 = -3 + 2x + 2x2 + -2x2 -17 = -3 + 2x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -17 = -3 + 2x + 0 -17 = -3 + 2x Solving -17 = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -17 + -2x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + -2x = -3 + 0 -17 + -2x = -3 Add '17' to each side of the equation. -17 + 17 + -2x = -3 + 17 Combine like terms: -17 + 17 = 0 0 + -2x = -3 + 17 -2x = -3 + 17 Combine like terms: -3 + 17 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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