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Simplifying (4x2 + 6x + 4) + -1(4x2 + -5) = 8x + -16 Reorder the terms: (4 + 6x + 4x2) + -1(4x2 + -5) = 8x + -16 Remove parenthesis around (4 + 6x + 4x2) 4 + 6x + 4x2 + -1(4x2 + -5) = 8x + -16 Reorder the terms: 4 + 6x + 4x2 + -1(-5 + 4x2) = 8x + -16 4 + 6x + 4x2 + (-5 * -1 + 4x2 * -1) = 8x + -16 4 + 6x + 4x2 + (5 + -4x2) = 8x + -16 Reorder the terms: 4 + 5 + 6x + 4x2 + -4x2 = 8x + -16 Combine like terms: 4 + 5 = 9 9 + 6x + 4x2 + -4x2 = 8x + -16 Combine like terms: 4x2 + -4x2 = 0 9 + 6x + 0 = 8x + -16 9 + 6x = 8x + -16 Reorder the terms: 9 + 6x = -16 + 8x Solving 9 + 6x = -16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 9 + 6x + -8x = -16 + 8x + -8x Combine like terms: 6x + -8x = -2x 9 + -2x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 9 + -2x = -16 + 0 9 + -2x = -16 Add '-9' to each side of the equation. 9 + -9 + -2x = -16 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = -16 + -9 -2x = -16 + -9 Combine like terms: -16 + -9 = -25 -2x = -25 Divide each side by '-2'. x = 12.5 Simplifying x = 12.5
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