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Simplifying (4x2 + 16 + 36) + -1(4x2 + 12x + 16) = x Reorder the terms: (16 + 36 + 4x2) + -1(4x2 + 12x + 16) = x Combine like terms: 16 + 36 = 52 (52 + 4x2) + -1(4x2 + 12x + 16) = x Remove parenthesis around (52 + 4x2) 52 + 4x2 + -1(4x2 + 12x + 16) = x Reorder the terms: 52 + 4x2 + -1(16 + 12x + 4x2) = x 52 + 4x2 + (16 * -1 + 12x * -1 + 4x2 * -1) = x 52 + 4x2 + (-16 + -12x + -4x2) = x Reorder the terms: 52 + -16 + -12x + 4x2 + -4x2 = x Combine like terms: 52 + -16 = 36 36 + -12x + 4x2 + -4x2 = x Combine like terms: 4x2 + -4x2 = 0 36 + -12x + 0 = x 36 + -12x = x Solving 36 + -12x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 36 + -12x + -1x = x + -1x Combine like terms: -12x + -1x = -13x 36 + -13x = x + -1x Combine like terms: x + -1x = 0 36 + -13x = 0 Add '-36' to each side of the equation. 36 + -36 + -13x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -13x = 0 + -36 -13x = 0 + -36 Combine like terms: 0 + -36 = -36 -13x = -36 Divide each side by '-13'. x = 2.769230769 Simplifying x = 2.769230769
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