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Simplifying (4x2 + 4x + 4) + -1(4x2 + -5) = 6x + -8 Reorder the terms: (4 + 4x + 4x2) + -1(4x2 + -5) = 6x + -8 Remove parenthesis around (4 + 4x + 4x2) 4 + 4x + 4x2 + -1(4x2 + -5) = 6x + -8 Reorder the terms: 4 + 4x + 4x2 + -1(-5 + 4x2) = 6x + -8 4 + 4x + 4x2 + (-5 * -1 + 4x2 * -1) = 6x + -8 4 + 4x + 4x2 + (5 + -4x2) = 6x + -8 Reorder the terms: 4 + 5 + 4x + 4x2 + -4x2 = 6x + -8 Combine like terms: 4 + 5 = 9 9 + 4x + 4x2 + -4x2 = 6x + -8 Combine like terms: 4x2 + -4x2 = 0 9 + 4x + 0 = 6x + -8 9 + 4x = 6x + -8 Reorder the terms: 9 + 4x = -8 + 6x Solving 9 + 4x = -8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 9 + 4x + -6x = -8 + 6x + -6x Combine like terms: 4x + -6x = -2x 9 + -2x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + -2x = -8 + 0 9 + -2x = -8 Add '-9' to each side of the equation. 9 + -9 + -2x = -8 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = -8 + -9 -2x = -8 + -9 Combine like terms: -8 + -9 = -17 -2x = -17 Divide each side by '-2'. x = 8.5 Simplifying x = 8.5
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