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Simplifying (4x2 + 3x + 1) + -1(4x2 + -5) = 7x + -17 Reorder the terms: (1 + 3x + 4x2) + -1(4x2 + -5) = 7x + -17 Remove parenthesis around (1 + 3x + 4x2) 1 + 3x + 4x2 + -1(4x2 + -5) = 7x + -17 Reorder the terms: 1 + 3x + 4x2 + -1(-5 + 4x2) = 7x + -17 1 + 3x + 4x2 + (-5 * -1 + 4x2 * -1) = 7x + -17 1 + 3x + 4x2 + (5 + -4x2) = 7x + -17 Reorder the terms: 1 + 5 + 3x + 4x2 + -4x2 = 7x + -17 Combine like terms: 1 + 5 = 6 6 + 3x + 4x2 + -4x2 = 7x + -17 Combine like terms: 4x2 + -4x2 = 0 6 + 3x + 0 = 7x + -17 6 + 3x = 7x + -17 Reorder the terms: 6 + 3x = -17 + 7x Solving 6 + 3x = -17 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + 3x + -7x = -17 + 7x + -7x Combine like terms: 3x + -7x = -4x 6 + -4x = -17 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -4x = -17 + 0 6 + -4x = -17 Add '-6' to each side of the equation. 6 + -6 + -4x = -17 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = -17 + -6 -4x = -17 + -6 Combine like terms: -17 + -6 = -23 -4x = -23 Divide each side by '-4'. x = 5.75 Simplifying x = 5.75
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