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Simplifying (4x2 + 4x + 2) + -1(4x2 + -5) = 7x + -1 Reorder the terms: (2 + 4x + 4x2) + -1(4x2 + -5) = 7x + -1 Remove parenthesis around (2 + 4x + 4x2) 2 + 4x + 4x2 + -1(4x2 + -5) = 7x + -1 Reorder the terms: 2 + 4x + 4x2 + -1(-5 + 4x2) = 7x + -1 2 + 4x + 4x2 + (-5 * -1 + 4x2 * -1) = 7x + -1 2 + 4x + 4x2 + (5 + -4x2) = 7x + -1 Reorder the terms: 2 + 5 + 4x + 4x2 + -4x2 = 7x + -1 Combine like terms: 2 + 5 = 7 7 + 4x + 4x2 + -4x2 = 7x + -1 Combine like terms: 4x2 + -4x2 = 0 7 + 4x + 0 = 7x + -1 7 + 4x = 7x + -1 Reorder the terms: 7 + 4x = -1 + 7x Solving 7 + 4x = -1 + 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. 7 + 4x + -7x = -1 + 7x + -7x Combine like terms: 4x + -7x = -3x 7 + -3x = -1 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + -3x = -1 + 0 7 + -3x = -1 Add '-7' to each side of the equation. 7 + -7 + -3x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = -1 + -7 -3x = -1 + -7 Combine like terms: -1 + -7 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667
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